Sindbad~EG File Manager

/*  6.17.13,  problems read from diflogs.mhw */
char *problems161[] = {
"1. log(5, x)",
"2. ln (4x^3)",
"3. x^3 - ln (x^3)",
"4. ln (1/x^3)",
"5. 1/ln x + ln (1/x)",
"6. ln ((x (1 - x)) / (x+1)^3)",
"7. ln (x sqrt (x^2 - 1))",
"8. (ln x) / sqrt x",
"9. ln (x / (x^2+1))",
"10. ln (ln x)",
"11. ln sqrt x",
"12. sqrt (ln x)",
"13. x (ln x)^2",
"14. sqrt (ln (sqrt x))",
"15. (ln x) / sqrt (x^2+1)",
"16. (x^2) ln x - x ln (x^2)",
"17. (sqrt x) ln^2 (x)",
"18. log (10, x^2+1)",
"19. ln (sqrt ((x+1) / (x - 1)))",
"20. ln (root (3, x^3+x^2+x))",
"21. ln (x sqrt (x^2 - 1))",
"22. ln ((sqrt (9+x^2)) / x)",
"23. ln (4+x^3)",
"24. (x^2) / ln^2 x",
"25. ln ( abs (2/x))",
"26. ln (abs (x^2 - 1))",
"27. ln (abs (x^2 - 1)^5)",
"28. (3+x) ln (abs (3+x))",
"29. e^(ln x^2)",
"30. e^(ln (x^2+1))",
"31. (e^x) ln x",
"32. ln (e^x+1)",
"33. ln (2^x+3^x)",
"34. 10^(ln x) - (ln x)^10",
"35. 5^(ln (abs x))",
"36. e^(cos x+ ln x)",
"37. ln (sinh x)",
"38. ln (sech x)",
"39. ln (tanh x)",
"40. ln (sin^2 (x))",
"41. (ln (sin x))^2",
"42. ln (sin (2x))",
"43. sin (ln (2x))",
"44. sin (2 ln x)",
"45. ln (sin x+ cos x)",
"46. sin (ln x) - cos (ln x)",
"47. ln ( sqrt (1+ sin^2 x))",
"48. ln (sqrt (2 - cos^2 x))",
"49. ln (abs (cos x))",
"50. ln ( cot x)",
"51. 3^(ln(x+10))",
"52. e^x (ln x)",
"53. e^(x ln x)",
"54. e^(3 ln x)",
"55. ln (sin (e^x))",
"56. ln (x e^(-x))",
"57. ln ((e^x) / (1+e^x))",
"58. x^x",
"59. x^x^x",
"60. sin (ln (x^4+2))",
"61. e^(ln(5+cos(2x)))",
""};

/*  6.17.13,  problems read from logdif.mhw */
char *problems162[] = {
"1. y = ((x^2+1)^2) ((x - 1)^3) x^5",
"2. y = (x - 1)^(1/6) (2x+3)^3 (7 - x)^(-1/3)",
"3. y = (x-3)^4(7x^2-1)^5",
"4. y = (x-1)^4(x+5)^3/(x+1)^3",
"5. y = (sqrt (4x+5)) (x - 5)^5",
"6. y = ((x^2+1)^5) / sqrt (x - 1)",
"7. y = (x^2 (x^2+1)(x^2+3)) / ((x^2 - 1) (x^2 - 3))",
"8. y = ((1+x)^(1/2) (1 - x)^(3/2)) / (x (2+x)^(4/3))",
"9. y = (x sin x) / (((x^2 - 1)^3) sec x)",
"10. y = ( tan x sec x) / ((e^x) (x - 1))",
"11. y = sqrt ((3x^2+1)sqrt (6x - 1))",
"12. y = sqrt ( ((x+1)^5 (x+2)^3)/(2x+1)^4)",
"13. y = ((x^3)ln x) / sqrt (2x^2+4)",
"14. y = x^x",
"15. y = x^(3x+7)",
"16. y = (2x)^x",
"17. y = x^sqrt x",
"18. y = x^(1/x)",
"19. y = (3x)^ln x",
"20. y =  x^(- ln x)",
"21. y = x^(1 / ln x)",
"22. y = x^(3 ln x)",
"23. y = x^(x^2)",
"24. y = (sqrt x)^(2 sqrt x)",
"25. y = (1+1/x)^(5x)",
"26. y = x^cos x",
"27. y = x^sec x",
"28. y = (cos x)^cos x",
"29. y = (x - 1) csc x",
"30. y = (1 - cos x)^tan x",
"31. y = (cos (pi x))^(pi x^2)",
"32. y = (1+x^2)^(1/x sin x)",
"33. y = (abs (sec x))^cos x",
"34. y = (x^x) e^sec x",
"35. y = (cosh x)^(1/x^2)",
"36. y = (1+e^x)^(x+1)",
"37. y = (x^2 - 1)^(e^(-x^2))",
"38. y = (1+2/x)^(x/2 e^x)",
"39. y = (ln x)^root(3, x)",
"40. y = (x^4+1)^(3 / ln x)",
"41. y = ((sqrt x) ln x)^x",
"42. y = ((x - 1) / x)^(2 ln x - 1)",
"43. y = x (sin x) tan x",
"44. y = ((sqrt (x^2+1)) sin ^2 x) / ((2x - 1)^(3/2) cos x)",
""};

/*  6.17.13,  problems read from difinvtr.mhw */
char *problems163[] = {
"1. arccos(-3x)",
"2. arccot(x/a)",
"3. arctan(x+1)",
"4. x arcsec(3x)",
"5. arccsc(x^2+1)",
"6. arctan(x^2)",
"7. arcsin(x^4)",
"8. arcsec(2x^2)",
"9. x arcsin x",
"10. x^3 arccos(3x)",
"11. arcsec(4+x^2)",
"12. x arcsin(x^2)",
"13. arctan((x+1)/(x-1))",
"14. (arctan x)/x",
"15. (arccot x)/x",
"16. (arccos x)^(-1)",
"17. 1/arctan x",
"18. (5 arctan x)^5",
"19. (arcsin(2x^2))^2",
"20. sqrt(arcsin x)",
"21. arccos(sqrt(t+1))",
"22. arcsin (sqrt(1-r^2))",
"23. x sqrt (1-x^2)-arccos x",
"24. x arcsin x + sqrt (1-x^2)",
"25. arcsin (sqrt x)",
"26. arccot (sqrt x)",
"27. 3^(arcsin(x^3))",
"28. (1/x-arcsin(1/x))^4",
"29. (arctan(6x^2))^(1/3)",
"30. arccot(1/x^2)",
"31. arcsin(2^x)",
"32. arcsin(e^x)",
"33. arccsc(5+e^x)",
"34. ln(2+(arctan x)^2)",
"35. ln(x^2+4)-x arctan(x/2)",
"36. e^(arccot(2x))",
"37. e^(-x) arcsec (e^(-x))",
"38. arctan(e^x)+arccot(e^-x)",
"39. e^(arcsec x)",
"40. ln(arccot x)",
"41. ln(arctan x)",
"42. ln (arccot (x^2))",
"43. arcsec(ln x)",
"44. arcsin(1/2 sin x)",
"45. arctan(cos x)",
"46. arccot(sin x)",
"47. sqrt(arccsc x)",
"48. arcsin(e^t)",
"49. x arctan x",
"50. e^arctan x",
""};

/*  6.17.13,  problems read from difhyper.mhw */
char *problems164[] = {
"1. tanh (10 x)",
"2. (sinh x) cosh x",
"3. x^2 sinh (5x)",
"4. cosh^5 x",
"5. sinh^10 x",
"6. sinh^2 (5x)",
"7. coth (sqrt x)",
"8. tanh (1/x)",
"9. cosh(x^3)",
"10. cosh (2x^2+3)",
"11. sech (root(3, x))",
"12. coth (sqrt (x^2 - 1))",
"13. (sqrt x) tanh (sqrt x)",
"14. tanh(root(3, x^2-x-2))",
"15. (cosh (x^2)) / (x^2+x+1)",
"16. cosh^3 (sqrt x)",
"17. tanh (ln x)",
"18. csch (ln x)",
"19. sinh(ln x)",
"21. sqrt (cosh x)",
"22. sqrt (1+ sinh x)",
"23. (cosh (sqrt x)) / sqrt x",
"24. (cosh (ln x)) / x",
"25. ln (cosh x)",
"26. ln (abs (tanh x))",
"27. ln tanh t",
"28. (x^2) ln (csch 5x)",
"29. (e^(-x)) cosh x",
"30. sqrt(csch(ln x))",
"31. sinh (e^(-3x))",
"32. sech (e^x)",
"33. (e^x) coth x",
"34. cosh (sin (e^(2x)))",
"35. csch^2 (e^(2x))",
"36. e^(csch (x^2))",
"37. cosh (sinh x)",
"38. cosh^2 (cos^2 x)",
"39. coth (cos x)",
"40. coth (cot^2 x)",
"41. sinh (sin x)",
"42. sech(arccos x)",
"43. arcsinh (-x^2)",
"44. tanh (arcsinh x)",
"45. arctanh (sin x)",
"46. arcsin (sinh x)",
"47. x^(sinh x)",
"48. x^(cosh x)",
"49. (sinh x)^x",
"50. arctan(sinh x)",
""};

/*  6.17.13,  problems read from difrev2.mhw */
char *problems165[] = {
"1. (x^3 - x^2+x - 1)^(4/7)",
"2. 1 / (4+x^2)",
"3. 1 / (x^2 - 1)",
"4. (x^3) / (1+x^4)",
"5. x / sqrt (1 - x^4)",
"6. tan^2 x",
"7. arccos (sqrt x)",
"8. sin(x) / (1+tan x)",
"9. sin (ln x)",
"10. x arccos x - arcsin x",
"11. arccos((1+x)/sqrt 2)",
"12. sqrt (arccos x)",
"13. arctan (sqrt (x^2 - 1))",
"14. arcsin (arcsec x)",
"15. arccot (tanh x)",
"16. arcsin(sin x + cos x)",
"17. arctan((1- x)/(1+x))",
"18. 3^x",
"19. 10^sqrt x",
"20. (x^e) / e^x",
"21. (x^2) e^(-x^2)",
"22. (x^(-2)) e^(x^(-1))",
"23. x 5^( - x^3)",
"24. e^((x^2+1) / (x^2 - 1))",
"25. e^(2^x)",
"26. e^(3x+1)",
"27. e^sqrt (x+1)",
"28. e^(e^x)",
"29. (e^x) sqrt (1+e^x)",
"30. (x^(-3)) e^(-1/x^2)",
"31. (e^x) / (1+e^(2x))",
"32. (3^x+2x) / (x^3 - 1)",
"33. e^( ln (e^(-x)))",
"34. cosh (e^(3x))",
"35. (cosh x+ sinh x) / x",
"36. (e^x) sinh (e^(-x))",
"37. e^(cos x)",
"38. e^(sin (x^2))",
"39. (e^(4 sin x)) cos x",
"40. e^sqrt (1+sin^2 x)",
"41. 3^arctan (3x)",
"42. (1 - x^2) e^arctan (1/x)",
"43. (e^(1+ln x)) / sqrt (1+x^2)",
"44. e^(sin x - ln x)",
"45. ln (x^2 - x+1)",
"46. ln (x sqrt (x+3))",
"47. ln (abs (tan x))",
"48. ln (sqrt (2+sin^2 x))",
"49. 1 / (x ln x)",
"50. 1 / (x ln^2 x)",
"51. ln (2^x cos x)",
"52. (1/x) ln (x^3)",
"53. x sqrt (ln x - ln^2 x)",
"54. ln (arccos (x^2))",
"55. (cos x) ln (cos x)",
"56. ln (tanh (3x - 1))",
"57. ln(arccos(1/sqrt x))",
"58. (2x)^(2x)",
"59. x^(2 cos (3x))",
"60. x^(x^x)",
"61. x^( -1/x)",
"62. x^x^2",
""};

/*  6.17.13,  problems read from intpart2.mhw */
char *problems166[] = {
"1. integral( te^t,t)",
"2. integral (x cos x, x)",
"3. integral( te^(-t),t)",
"4. integral( x sin x, x)",
"5. integral (sin (sqrt x), x)",
"6. integral (theta sec theta tan theta, theta)",
"7. integral (x sec^2 (4x), x)",
"8. integral (x tan^2 x, x, 0, pi/3)",
"9. integral (ln x, x, 1, e)",
"10. integral (cos (sqrt z), z)",
"11. integral (arccos y, y)",
"12. integral (arcsec abs(x), x)",
"13. integral( arcsin x,x)",
"14. integral (y arctan (sqrt y), y)",
"15. integral (x arccot (x^2), x)",
"16. integral (2x arcsin (x^2), x, 0, 1)",
"17. integral (sin x arctan (cos x), x)",
"18. integral (ln (x^2+x),x)",
"19. integral (ln (10x), x)",
"20. integral ((ln x)^2, x)",
"21. integral ((ln x)^3, x)",
"22. integral ((ln z)^5, z)",
"23. integral ((x - 1)^2 e^x, x, 0,1)",
"24. integral( x^2 cos x,x)",
"25. integral( x ln x,x)",
"26. integral ( sin (ln x), x)",
"27. integral (cos (ln x), x)",
"28. integral (x ln (x^4), x)",
"29. integral ((ln t )/ t^2, t)",
"30. integral ((ln (sqrt x)) / x, x)",
"31. integral ((ln y) / (y sqrt y), y)",
"32. integral (sqrt y ln y, y)",
"33. integral ((ln z)^2 / z^2, z)",
"34. integral (x ln (x+1), x)",
"35. integral (x^2 ln (x^3), x)",
"36. integral (u (ln u)^2, u)",
"37. integral (x^n ln x, x)",
"38. integral (sin x ln (cos x), x)",
"39. integral (cos x ln (1+sin x), x)",
"40. integral (cos (ln x^2), x)",
"41. integral ((ln x cos (ln x)) / x, x)",
"42. integral (x^2 cosh (2x), x)",
"43. integral (e^(2x) cos (e^x), x)",
"44. integral ((sin t) / e^t, t)",
"45. integral (e^(2x) cos (pi x), x, 0, 1)",
"46. integral (1/t arcsin (ln t), t)",
"47. integral (ln (1+x^2), x, 0, 1)",
"48. integral (x (sin x - cos x), x, 0, pi)",
"49. integral (csc^3 x, x)",
"50. integral (sec^3 x, x)",
""};

/*  6.17.13,  problems read from intlog.mhw */
char *problems167[] = {
"1. integral(1/x,x,4,8)",
"2. integral(3/x,x,-e^2,-e)",
"3. integral((x^2+x+1)/x,x,1,e)",
"4. integral((sqrt x + 1/sqrt x)^2,x,4,9)",
"5. integral(1/(2x-1),x)",
"6. integral((x^2+1)/(x^3+3x+1),x)",
"7. integral((x+1)/(x^2+2x),x)",
"8. integral((x+1)/x^2,x)",
"9. integral(((2^x+1)^2)/2^x,x)",
"10. integral(x(3^(-x^2)),x)",
"11. integral(3x/(x^2+4),x)",
"12. integral((x+1)/(2x^2 +4x+1),x)",
"13. integral((2x+1)/(x^2+x+1),x)",
"14. integral((x^2 -2x)/(x^3-3x^2+1),x)",
"15. integral((x^2)/(x^3+1),x)",
"16. integral((x-1)/(x^2+4),x)",
"17. integral(x/(x^2+9),x,0,4)",
"18. integral((sqrt x + 1/sqrt x)^2,x,4,9)",
"19. integral((10^sqrt x)/sqrt x,x)",
"20. integral(sqrt x e^(2x sqrt x),x)",
"21. integral(1/(1+x^(1/3)),x)",
"22. integral(ln (x^3)/x,x)",
"23. integral(1/(t ln t),t)",
"24. integral((1+ln x)^3/x,x)",
"25. integral(ln(x+1)/(x+1),x,0,1)",
"26. integral(x^2(1+ln x),x,2,4)",
"27. integral((2^ln x)/x,x,1,2)",
"28. integral((e^ln x)/x,x)",
"29. integral((e^(3x)+1)^2,x)",
"30. integral(((e^x+1)^2)/e^x,x)",
"31. integral(e^x/(e^x+1)^2,x)",
"32. integral((e^x-e^(-x))/(e^x+e^(-x)),x)",
"33. integral(1/(x(1+ln x)),x)",
"34. integral(e^t e^(e^t),t)",
"35. integral((e^(-t) ln (1+e^(-t)))/(1+e^(-t)),t)",
"36. integral(1/(1+e^x),x)",
"37. integral((e^x+e^(-x))^2,x)",
"38. integral((x+e^(2x))/(x^2+e^(2x)),x)",
"39. integral(x^2 e^(1-x^3),x)",
"40. integral(e^(1/t)/t^2,t)",
"41. integral((sin x)/(2+cos x),x)",
"42. integral(2^cos x sin x,x,0,pi/2)",
"43. integral(csc x/2,x)",
"44. integral((sec^2 x)/(1+tan x),x)",
"45. integral((sin x)/(1+cos x),x)",
"46. integral(tan (sqrt t)/sqrt t,t)",
"47. integral((tan e^(-3x))/e^(3x),x)",
"48. integral(sqrt x e^(-sqrt(x^3)),x)",
"49. integral((sin 2x) e^(1-cos 2x),x)",
"50. integral(1/(x ln x),x)",
"51. integral((ln x)^2/x,x)",
"52. integral((sec^2 x)/(2 - tan x),x)",
"53. integral(cot x,x)",
""};

/*  6.17.13,  problems read from inttrig.mhw */
char *problems168[] = {
"1. integral(sin x, x)",
"2. integral(cos x, x)",
"3. integral(tan x, x)",
"4. integral(cot x, x)",
"5. integral(sin^2 x, x)",
"6. integral(cos^2 x, x)",
"7. integral(sin^3 x, x)",
"8. integral(tan^2 x, x)",
"9. integral(csc x,x)",
"10. integral(sec^3 (2x), x)",
"11. integral(sin^4 x, x)",
"12. integral(cos^3 x, x)",
"13. integral(cot^2 x, x)",
"14. integral(cos^7 x, x)",
"15. integral(tan^3 x, x)",
"16. integral(tan^4 x, x)",
"17. integral(cot^3 x, x)",
"18. integral(cot^5 x, x)",
"19. integral(csc^2 x, x)",
"20. integral(csc^4 x, x)",
"21. integral(1/ cos^4 (3x), x)",
"22. integral(csc^6 x, x)",
"23. integral( tan^5 (5x), x)",
"24. integral( (sin (3x)) sin (7x), x)",
"25. integral((cos (x/2)) cos (x/4), x)",
"26. integral((sin x)cos (5x), x)",
"27. integral( (sin(x+pi/3)) cos x, x)",
"28. integral((sin^3 x) cos x, x)",
"29. integral( (sin x) cos^3 x, x)",
"30. integral((sin^4 x) cos^2 x, x)",
"31. integral((sin^3 x) cos^3 x, x)",
"32. integral((sin^3 x) cos^4 x, x)",
"33. integral((sin^6 x) cos^4 x, x)",
"34. integral((sin x)^sqrt 5 cos^3 x, x)",
"35. integral((sin^4 x) / cos^2 x, x)",
"36. integral((1+sin^2 x)(1+cos^2 x), x)",
"37. integral((sin^5 x) sqrt (cos x), x)",
"38. integral((1+sqrt (cos x))^2 sin x, x)",
"39. integral( (sin^3 x) / sqrt (cos x), x)",
"40. integral((cos^3 x) / sqrt (sin x), x)",
"41. integral((tan x) / sec^2 x, x)",
"42. integral((tan x) / cos^3 x, x)",
"43. integral((sec^4 x) / tan^2 x, x)",
"44. integral((cot^3 x) / sqrt (csc x), x)",
"45. integral((cot x - csc^2 x) / (1 - cos^2 x), x)",
"46. integral((tan^2 x) / sec^5 x, x)",
"47. integral( (tan^2 x) sec^2 x, x,0, pi/3)",
"48. integral( (tan^3 x) sec x,x, 0,pi/4)",
"49. integral((tan^4 x) sin x, x)",
"50. integral((tan^2 x) sec x, x, 0, pi/6)",
"51. integral((tan^4 (1 - x)) sec^4 (1 - x), x)",
"52. integral(sin^4 x+2(sin^2 x) cos^2 x+cos^4 x, x)",
"53. integral((sin (arctan x)) / (1+x^2), x)",
"54. integral((sin^2 (ln x) cos^2 (ln x)) / x, x)",
"55. integral((cos x) ln (1 - cos (2x)), x)",
"56. integral( x sin^3 x^2, x)",
"57. integral((cos^3 x) cos 2x, x)",
"58. integral((sin^(3/2) x) cos^3 x, x, 0, pi/2)",
"59. integral((sec^2 x) ln (cos x),x)",
"60. integral((cos^4 x) / sin^2 x, x)",
""};

/*  6.17.13,  problems read from trigsub.mhw */
char *problems169[] = {
"1. integral(((1+x^2)^2) / x^3, x)",
"2. integral(1 / (36+x^2)^2, x)",
"3. integral(sqrt (1 - x^2), x)",
"4. integral(sqrt (4 - x^2), x)",
"5. integral(sqrt (4+x^2), x)",
"6. integral(sqrt (9 - 4x^2), x)",
"7. integral(sqrt (6x - x^2 - 8), x)",
"8. integral( (9+x^2)^(3/2), x)",
"9. integral( (1 - x^2)^(3/2), x)",
"10. integral( sqrt(3x-x^2), x)",
"11. integral( x^2 sqrt(9 - x^2),x,0,3)",
"12. integral(x sqrt (6x - x^2 - 8), x)",
"13. integral((x^3) sqrt (x^2 - 1), x, 1, 2)",
"14. integral((x^3) sqrt (1 - x^2), x)",
"15. integral(x sqrt (4 - x^2),x)",
"16. integral(x sqrt (x^2 - 1), x)",
"17. integral(x sqrt (x^2+1), x)",
"18. integral( sqrt(x^2+4), x)",
"19. integral((x^2) sqrt (x^2 - 1), x)",
"20. integral((x^2) sqrt (1 - x^2), x)",
"21. integral((x^2) sqrt (x^2+1), x)",
"22. integral(1 / sqrt (x^2+1), x)",
"23. integral(1/ sqrt (x^2 - 1), x)",
"24. integral(1/ sqrt (1 - x^2), x)",
"25. integral(1/ sqrt (x^2 - 2x - 8), x, 5, 6)",
"26. integral(1/ (x^2 - 9)^(3/2), x)",
"27. integral(1/ (9 - 4x^2)^(3/2), x)",
"28. integral((9+4x^2)^(-3/2), x)",
"29. integral((sqrt (x^2 - 1)) / x, x, 1, 2)",
"30. integral((sqrt (x^2+1)) / x, x)",
"31. integral((sqrt (9 - x^2)) / x, x)",
"32. integral((sqrt (x^2 - 9)) / x, x)",
"33. integral((sqrt (4 - x^2)) / x^2, x)",
"34. integral((sqrt (x^2 - 5)) / x^2, x)",
"35. integral((sqrt (x^2 - 1)) / x^4, x)",
"36. integral((sqrt (x^2+1)) / x^4, x)",
"37. integral((sqrt (1 - x^2)) / x^4, x)",
"38. integral( x/sqrt(1-x^2), x)",
"39. integral( x^2/sqrt(3 - x^2), x)",
"40. integral(1/ (x sqrt (x^2 - 1)), x)",
"41. integral(x / sqrt (16 - x^2), x)",
"42. integral(x / sqrt (16+x^2), x)",
"43. integral((x - 1) / sqrt (2x - x^2), x, 1, 3/2)",
"44. integral(x / sqrt (x^2 - 2x - 3), x)",
"45. integral(x / sqrt (9x^2 - 6x+5), x)",
"46. integral( x / sqrt (x^2 - 8x+25), x)",
"47. integral((x^2) / (1 - x^2)^(3/2), x)",
"48. integral( (x^3) / sqrt (x^2+9), x)",
"49. integral((x^3) (4 - x^2)^(-1/2), x)",
"50. integral((x^3) / sqrt (x^2+1), x, 0, 1)",
"51. integral(1/ (x sqrt (x^2+4)), x, 1, 2)",
"52. integral(1/ (x sqrt (x^2 - 9)), x)",
"53. integral(1/ (x^2 sqrt (1 - x^2)), x)",
"54. integral(1/ (x^2 sqrt (9 - x^2)), x)",
"55. integral(1/ ((x^2) sqrt (a^2 +x^2)), x)",
"56. integral((e^x) sqrt (e^(2x) - 1), x)",
"57. integral((e^x) / sqrt (9 - e^(2x)), x)",
"58. integral((e^(3x)) / sqrt (1 - e^(2x)), x)",
"59. integral(1/ (e^x sqrt (9+e^(2x))), x)",
"60. integral(1/ (x sqrt (9+ln^2 x)), x)",
""};

/*  6.17.13,  problems read from intrat.mhw */
char *problems170[] = {
"1. integral( x/(x-5),x)",
"2. integral( (2x - 1) / (x^2 - 4), x)",
"3. integral((x+3) / (x^2+4), x)",
"4. integral(x / (x^2+x - 6), x)",
"5. integral(1/((x - 1)(x+1)), x)",
"6. integral((5x)/((x - 2)(x+3)), x)",
"7. integral((2x - 4)/(x - 1)^2, x)",
"8. integral((x^2 - 4) / (x(x+1)), x)",
"9. integral(1/(x(x^2 - 1)), x)",
"10. integral((4x^2+54x+134) / ((x - 1)(x+5)(x - 3)),x)",
"11. integral((x^5) / (x - 2)^2, x)",
"12. integral((x^3)/(x^2 - 9), x, 0, 1)",
"13. integral((x^2) / (x+1)^3, x)",
"14. integral( x^3/(x+1)^3,x)",
"15. integral(1 / (1 - x^2)^2, x)",
"16. integral((x^4 - x^3 - x - 1) / (x^3 - x^2), x)",
"17. integral((x^3 - 6x) / ((x^2 - 1)(x^2 - 4)), x)",
"18. integral(x / ((x - 1)(x - 2)(x - 3)), x)",
"19. integral((x^3+3x - 3) / ((x^2)(x - 1)), x)",
"20. integral(1/ (x^3+x), x)",
"21. integral((x^2 - 2x) / ((x - 1)(x^2+2)), x)",
"22. integral((x^2+10) / (x^2+5), x)",
"23. integral( x/(x^2+4x+4),x)",
"24. integral(1/ ((x^2)(x^2+1)), x)",
"25. integral((2x) / ((x+1)^2 (x - 3)^2), x)",
"26. integral(x / ((x - 1)^3 - 4(x - 1)), x)",
"27. integral((x^6 - x^3+1) / (x^4+9x^2), x)",
"28. integral((x^4 - 2x) / (x^5 - 4x^3), x)",
"29. integral((x^3+2x^2) / (x^3+x), x)",
"30. integral((x^2 - 3) / (x^3+x), x, 1, 5)",
"31. integral((8 - x) / (x^3+9x), x)",
"32. integral((x^3+4x - 2) / (x^3 - 8) , x)",
"33. integral(1 / ((x^2+1)(x^2+9)), x)",
"34. integral((x^2) / ((x - 1)(x^2+2x+1)), x)",
"35. integral(1/ (x (x^2+2x+3)), x)",
"36. integral((x^3) / (x^2+x - 6), x)",
"37. integral((x - 1) / (4x^2 - 4x - 1), x)",
"38. integral(1/ (x^4+2x^2+1), x)",
"39. integral((3x^2 - 1) / (x^3+3x+4), x)",
"40. integral((4x^2 - 5x - 15) / (x^3 - 4x^2 - 5x), x)",
"41. integral((4x) / (x^3+6x^2+11x+6), x)",
"42. integral((x^3) / (x^4+2x^2+1), x)",
"43. integral((x^2) / (x+4)^2, x)",
"44. integral((x^3) / (x^2+2)^2, x)",
"45. integral(1/ (x - 1), x)",
"46. integral(1/ (x+1), x)",
"47. integral(x / (x+1), x)",
"48. integral(x / (x - 1),x)",
"49. integral(1/ (1 - x^2), x)",
"50. integral(1 / (1+x^2), x)",
"51. integral(x / (1 - x^2), x)",
"52. integral(x / (1+x^2), x)",
"53. integral((x^2) / (1 - x^2), x)",
"54. integral((x^3) / (1+x^2), x)",
"55. integral((x^3) / (x^2 - 1), x)",
"56. integral(1/ (1 - x^3), x)",
"57. integral(1/ (1+x^3), x)",
"58. integral(x / (1+x^3), x)",
"59. integral((x^2) / (1+x^3), x)",
"60. integral(1/ (x^4+1), x)",
"61. integral(1/ (x^4 - 1), x)",
"62. integral(x / (x^4 - 1), x)",
"63. integral(x / (x^4+1), x)",
"64. integral((x^2) / (x^4 - 1) ,x)",
"65. integral((x^2) / (x^4+1), x)",
"66. integral((x^3) / (x^4 - 1), x)",
"67. integral((x^3) / (x^4+1) ,x)",
"68. integral((x^5) / (x^6 - 1), x)",
"69. integral(1 / (x^6 - 1), x)",
"70. integral(1/ (x^6+1), x)",
"71. integral(x/((x-1)^2(x-2)^3(x-3)^4),x)",
""};

/*  6.17.13,  problems read from ratsub.mhw */
char *problems171[] = {
"1. integral(1/ (5 - sqrt x), x)",
"2. integral( sqrt(x)/(x - 1),x)",
"3. integral( (sqrt x - 2)/(sqrt x +2),x)",
"4. integral( sqrt((1+x)/x),x)",
"5. integral(1/(sqrt x+2),x, 2, 4)",
"6. integral( sqrt ((x - 1) / x), x)",
"7. integral( x / sqrt (1+x), x, 0, 2)",
"8. integral(1/(1+root (3, x)), x, 0, 64)",
"9. integral((2 sqrt x) / (sqrt x+1), x)",
"10. integral((sqrt (3+x) - 8) / (sqrt (3+x)+8), x)",
"11. integral((sqrt (x+1) - 1) / (sqrt (x+1)+1), x)",
"12. integral(1/(2 - root(3, x)), x, 0, 1)",
"13. integral(1/(x+x^(3/4)),x)",
"14. integral(sqrt (1+sqrt x), x)",
"15. integral((sqrt x) / (1+root (4,x)), x)",
"16. integral( 1/(sqrt x + root(3, x)),x)",
"17. integral((x^(1/3))(x^(1/2) - 5), x)",
"18. integral((x+1) sqrt (x - 3), x)",
"19. integral(sqrt (x (5 - x)), x)",
"20. integral((x^2) sqrt (x+1), x)",
"21. integral(x root (3, x+8), x)",
"22. integral((x^3) sqrt (x^2+1), x)",
"23. integral((x^2) sqrt (x+5), x)",
"24. integral((sqrt (x^2 - 1)) / x, x)",
"25. integral(x / sqrt (x^4+1), x)",
"26. integral(x / (x+3)^(5/2), x)",
"27. integral((x^2) / root (3, x+5), x)",
"28. integral((sqrt (2 - 2x - x^2)) / (x+1), x)",
"29. integral(1/((x^2) sqrt (1 - x^2)), x)",
"30. integral(1/((x^2) sqrt (x^2+3)), x)",
"31. integral(1/ ((x^(3/2)) sqrt (1 - x)), x)",
"32. integral(1/ ((x^(1/5)) sqrt (1+x^(4/5))), x)",
"33. integral( x / sqrt (x^4+6x^2+5), x)",
"34. integral( 1/(3+cos x),x)",
"35. integral( 1/ (1 - cos x), x)",
"36. integral( 1/ (1+sin x+cos x), x)",
"37. integral( 1/(sin x + 3 cos x),x)",
"38. integral( 1/ (sin x+1), x)",
"39. integral(1/ (tan x - 1), x)",
"40. integral(1/ (3 sec x - 4), x)",
"41. integral(1/ (sin x+tan x), x)",
"42. integral( (tan x) / (tan x+sec x), x)",
"43. integral((cos x) / (sin^2 x+ sin x - 8), x)",
"44. integral( cos (sqrt (x+1)), x)",
"45. integral(1/ ((sqrt x) (1 - cos (sqrt x))), x)",
"46. integral((e^x) sqrt (1+e^(2x)), x)",
"47. integral(1/(e^(2x) - 1), x)",
"48. integral( e^(2x)/(e^(2x) - 2e^x + 1),x)",
"49. integral((e^x)(10 - e^(x/2))^(1/3), x)",
"50. integral((sqrt x) e^sqrt x, x)",
"51. integral((1+e^(-x))^(-1/2), x)",
"52. integral((e^x+e^(-x))^(-1), x)",
"53. integral( 1/(2 sin x + sin(2x)),x)",
"54. integral( (sec x)/(1+sin x),x)",
"55. integral( 1/((bx + c) sqrt x),x)",
""};

/*  6.17.13,  problems read from intrev2.mhw */
char *problems172[] = {
"1. integral( (3x+5)/(x-2),x)",
"2. integral( (3x+1) / (x+3)^50, x)", //rational functions
"3. integral( (4x+2) / (x^3 - x), x)",
"4. integral( 1 / (x^2+1)^2, x)",
"5. integral( (x - 1) / (x+3)^5,x)",
"6. integral( (x^3+1) / (x+1)^3,x)",
"7. integral( (x+2) / (x^2+4x+7)^2, x)",
"8. integral( e^(x+e^x),x)",
"9. integral( 1/ sqrt(x^2 + 6 x-1),x)", //sqrt of rational
"10. integral( 1/(x + sqrt x),x)",
"11. integral( x sqrt (x+4),x)",
"12. integral( sqrt(3 - x-x^2),x)",
"13. integral( (sqrt (2x+1)) / (x+1), x)",
"14. integral( sqrt (1+ sqrt x), x)",
"15. integral( x^2 sqrt (x+1), x)",
"16. integral( sqrt (x^4+x^7), x)",
"17. integral( (sqrt (1+x)+2) / (sqrt (1+x) - 2), x)",
"18. integral( 1 / (root (4,x)+sqrt x),x)",
"19. integral( cos 3x cos 7x,x)",
"20. integral( (cos x)/(1+sin^2 x),x)",
"21. integral( tan^5 x, x)",
"22. integral( (cos (2x)) / (1+ cos x), x)",
"23. integral( 1 / (1 - sin x), x, 0, pi/4)",
"24. integral( cos^5 x,x,0,pi/2)",
"25. integral( cot^2 (2 theta), theta)",
"26. integral( x^2 sin x^3, x)",
"27. integral( 1/ (6+sin x),x)",
"28. integral( sec^4 x tan^8 x, x)",
"29. integral( (sin x) / (1+cos x)^2, x)",
"30. integral( (sin^3 x) / (1+cos^2x), x)",
"31. integral( (cos x) / (sin^2 x + 1), x)",
"32. integral( 1 / sin (2x), x, pi/6, pi/3)",
"33. integral( (cos 2x+1) / (cos 2x - 1), x)",
"34. integral( sin t sin 2t sin 3t, t)",
"35. integral( cos x sqrt (9 - sin^2 x), x)",
"36. integral( sin ( sqrt (1 - x)),x)",
"37. integral( cos (sqrt x), x)",
"38. integral( sqrt x sin (sqrt x), x)",
"39. integral( x/ cos^2(2x), x)",
"40. integral( x^2 cos x, x)",
"41. integral( x sin^2 x, x)",
"42. integral( x sin^2 x cos x, x)",
"43. integral( sin^3 x cos^2 x,x)",
"44. integral( x arcsin x,x)",
"45. integral( arcsin (x/3), x, 0, 1)",
"46. integral( arcsin (sqrt x), x)",
"47. integral( (arctan sqrt x)/sqrt x,x)",
"48. integral( (arcsin^2 x) (1 - x^2)^(-1/2), x)",
"49. integral( arctan (sqrt (x+1)), x, 0, 5)",
"50. integral( sin t cos(cos t),t)",
"51. integral( x^2 e^(3x), x)",
"52. integral( x^2 e^(x^3), x)",
"53. integral( e^(1/2 ln x), x, 1, 3)",
"54. integral( ln(1+x^2),x)",
"55. integral( 1/ (1+e^(3x)), x)",
"56. integral( ln(2 - x^2),x)",
"57. integral( e^x/(e^(2x)+1),x)",
"58. integral( (x ln x) / sqrt(x^2-5),x)",
"59. integral( 1/(e^(2x) - e^x),x)",
"60. integral( x^3 ln x, x)",
"61. integral( ln(x^2 + x + 1), x)",
"62. integral( ln (x+ sqrt (x^2 - 1)), x)",
"63. integral( ( ln x)^3, x)",
"64. integral( x^(3/2) ln x, x)",
"65. integral( ln (x^2 - 1), x)",
"66. integral( x ln (1/x) , x, 1, 2e)",
"67. integral( 1 / (x (5+2 ln x)), x)",
"68. integral( sqrt (1 - e^x), x)",
"69. integral( cos(x) 2^(sin x) , x)",
"70. integral( cos (ln x), x)",
"71. integral( (tan x) / ln (cos x), x)",
"72. integral( (e^arctan t)/(1+t^2),t)",
"73. integral( e^(-x) arcsin (e^(-x)), x)",
"74. integral( cot x ln sin x,x)",
"75. integral (sin (2t) ln (cos t), t)",
"76. integral( (cos x) / (sin^2 x - sin x), x)",
"77. integral( x^2 cos (1 - x), x)",
""};

/*  6.17.13,  problems read from improper.mhw */
char *problems173[] = {
"1. integral(1/x^2, x, 1, infinity)",
"2. integral(1/x^(3/2),x,1,infinity)",
"3. integral(1/x^(2/3),x,1,infinity)",
"4. integral(1/sqrt(x),x,1,infinity)",
"5. integral(1/x^(1+1/100),x,1,infinity)",
"6. integral(1/x^s,x,1,infinity)",
"7. integral(1/x,x,0,1)",
"8. integral(1/x,x,-1,1)",
"9. integral(1/sqrt x, x, 0,1)",
"10. integral(1/x^(3/2),x,0,1)",
"11. integral(1/x^2,x,0,1)",
"12. integral(1/x^(1-1/100),x,0,1)", // would like s instead of 0.99
"13. integral(ln x,x,0,1)",
"14. integral(1/(x^2+1),x,0,infinity)",
"15. integral(e^-t,t,0,infinity)",
"16. integral(x ln x,x,0,1)",
"17. integral(e^(-abs(x)),x,-infinity,infinity)",
"18. integral(1/(1-x),x,0,1)",
"19. integral(1/(x-1)^(1/3),x,0,3)",
"20. integral((x+3)/((x-1)(x^2+1)),x,2,infinity)",
"21. integral(te^(-t^2),t,0,infinity)",
"22. integral((2x-1)/(x^2-4),x,0,infinity)",
"23. integral(1/sqrt(abs(x)),x,-1,2)",
"24. integral(1/(x^2 + 5x + 6),x,-1,infinity)",
"25. integral(ln abs(x),x,-1,1)",
"26. integral(tan x, x, 0, pi/2)",
"27. integral(1/(x sqrt(x^2-1)),x,1,infinity)",
"28. integral(1/(t^2-1),t,2,infinity)",
"29. integral(1/sqrt(abs(x-1)),x,0,2)",
"30. integral(e^(-abs(x-1)),x,-infinity,infinity)",
"31. integral(1/sqrt(x) + 1/sqrt(1-x),x,0,1)",
"32. integral(1/((x-1)(x+1)),x,2,infinity)",
"33. integral(1/((x-1)(x+1)),x,1,infinity)",
"34. integral(1/((x-1)(x+1)),x,0,infinity)",
"35. integral(arctan x,x,0,infinity)",
"36. integral(1/x^2,x,0,infinity)",
"37. integral(1/x^2,x,-1,1)",
"38. integral(ln(x)/sqrt(x),x,0,1)",
"39. integral(1/((x-1)^2(x+1)^2),x,-1,1)",
"40. integral(1/(x^2(x+1)^2),x,0,1)",
"41. integral(tan x,x,0,pi/2)",
"42. integral(sec x,x,0,pi/2)",
"43. integral(t e^-t,t,0,infinity)",
"44. integral(t^2 e^-t,t,0,infinity)",
"45. integral(sin x, x,0, infinity)",
"46. integral(sqrt(x)/(x-1),x,0,1)",
"47. integral(1/root(3, x),x,0,1)",
"48. integral(1/abs(root(3, x)),x,-1,2)",
"49. integral(x ln(x)^2,x,0,1)",
"50. integral(x ln(x)^3,x,0,1)",
""};

/*  6.17.13,  problems read from series1.mhw */
char *problems174[] = {
"1. sum((-1)^n/4^n,n,0,infinity)",
"2. sum( 1/2^(2n),n,0,infinity)",
"3. sum( 3/2^n,n,3,infinity)",
"4. sum( 2/3^(n-1),n,1,infinity)",
"5. sum( 1/(n^2+n),n,2,infinity)",
"6. sum( (2^n + 3^n)/6^n,n,1,infinity)",
"7. sum( (sqrt(n+1)-sqrt(n))/sqrt(n^2+n),n,1,infinity)",
"8. sum( (2n+1)/(n^2(n+1)^2),n,1,infinity)",
"9. sum( 1/5^(2n+1),n,3,infinity)",
"10. sum( 1/(n^2 + 3n + 2),n,1,infinity)",
"11. sum( x^n,n,2,infinity)",
"12. sum( 1/x^n,n,1,infinity)",
"13. sum( cos^n x,n,0,infinity)",
"14. sum( e^-n,n,0,infinity)",
"15. sum( e^-(3n),n,0,infinity)",
"16. sum(2^(n+1)/5^n,n,0,infinity)",
"17. sum(1/ln(n+1) - 1/ln n,n,2,infinity)",
"18. sum(arctan(n) - arctan(n+1),n,1,infinity)",
"19. sum((ln x)^n, n,0,infinity)",
"20. sum((e/pi)^n,n,0,infinity)",
"21. sum( pi^(ne)/e^(n pi),n,0,infinity)",
"22. sum(1/2^n - 1/3^n,n,0,infinity)",
"23. sum(2^(-n/2),n,0,infinity)",
"24. sum((3n^2 + 3n+1)/(n^3(n+1)^3),n,1,infinity)",
""};

/*  6.17.13,  problems read from inttest.mhw */
char *problems175[] = {
"1. sum(1/n,n,1,infinity)",
"2. sum(1/n^2,n,1,infinity)",
"3. sum(1/n^(3/2),n,1,infinity)",
"4. sum(1/n^(2-1/100),n,1,infinity)",
"5. sum(1/n^3,n,1,infinity)",
"6. sum(1/n^s,n,1,infinity)",
"7. sum(1/sqrt n, n, 1, infinity)",
"8. sum(n/(n+1),n,1,infinity)",
"9. sum(ln(n)/sqrt(n),n,1,infinity)",
"10. sum(ln(n)/n^2,n,1,infinity)",
"11. sum(ln(n)^2/n^2,n,1,infinity)",
"12. sum(n e^(-n^2),n,1,infinity)",
"13. sum(n/(1+n^2)^2,n,1,infinity)",
"14. sum(1/(n ln n),n,2,infinity)",
"15. sum(1/(n ln(n^2)),n,2,infinity)",  
"16. sum(1/(n (ln n)^2),n,2,infinity)",
"17. sum(1/(n (ln n)^3),n,2,infinity)",
"18. sum(1/2^n,n,1,infinity)",
"19. sum(n/2^n,n,1,infinity)",
"20. sum(n^2/2^n,n,1,infinity)",
"21. sum(1/(1+n^2),n,1,infinity)",
""};

/*  6.17.13,  problems read from comptest.mhw */
char *problems176[] = {
"1. sum(sin^2(n)/2^n,n,1,infinity)",
"2. sum(1/(sqrt(n) sqrt(n+1)),n,1,infinity)",
"3. sum(n sin(1/n),n,1,infinity)",
"4. sum(sin(1/n)/n,n,1,infinity)",
"5. sum(n/2^n,n,1,infinity)",
"6. sum(n^2/2^n,n,1,infinity)",
"7. sum((n+1)/2^n,n,1,infinity)",
"8. sum((ln n)/(n sqrt(n+1)),n,1,infinity)",
"9. sum((1 + sqrt(n))/(n+1)^3-1,n,1,infinity)",
"10. sum(1/(ln n)^5,n,2,infinity)",
"11. sum(n cos^2(n pi/3)/2^n,n,1,infinity)",
"12. sum(1/(1000n + 1),n,1,infinity)",
"13. sum(1/(1+n^2),n,1,infinity)",
"14. sum(1/(1+n),n,1,infinity)",
"15. sum(n/(1+n^2),n,1,infinity)",
""};

/*  6.17.13,  problems read from rrtest.mhw */
char *problems177[] = {
"1. sum((2^n+5)/3^n,n,1,infinity)",
"2. sum(n^2/2^n,n,1,infinity)",
"3. sum(1/n!,n,1,infinity)",
"5. sum(2^n/n!,n,1,infinity)",
"6. sum(n!/n^n,n,1,infinity)",
"7. sum(n/(ln n)^2,n,2,infinity)",
"8. sum(e^(-n^2),n,0,infinity)",
""};

/*  6.17.13,  problems read from pseries1.mhw */
char *problems178[] = {
"1. 1/(1+x^2)",
"2. 1/(1-x^2)",
"3. ln(1+x)",
"4. ln(1-x)",
"5. x/(1-x)",
"6. x^3/(1-x)",
"7. 1/(1-x^5)",
"8. x/(1-x^4)",
"9. x^3/(1+x^3)",
"10. arctan(x)",
"11. 1/(2-x)",
"12. sin(3x)",
"13. e^(-x)",
"14. cosh x",
"15. sinh x",
"16. sin(x)/x",
"17. (1-cos(x))/x^2",
"18. (1+x)/(1-x)",
"19. (1-x)/(1+x)",
"20. e^(x^2)",
"21. sqrt(1+x)", //binomial series
"22. root(3, 1+x)",
"23. sqrt(1-x^2)",
"24. 1/sqrt(1-x)",
"25. arcsin x", // differentiate and use the binomial series
"26. arccos x",
""};

/*  6.17.13,  problems read from pseries2.mhw */
char *problems179[] = {
"1. 1/(1+x^2)",
"2. x^3/(1+x^3)",
"3. x^2 ln(1-x)",
"4. arctan(x^2)",
"5. ln sqrt(1-x^2)",
"6. ln sqrt((1+x)/(1-x))",
"7. sin^2 x", // sin^2 x = (1/2)(1-cos(2x))
"8. cos^2 x", // cos^2 x = (1/2)(1+cos(2x))
"9. tan x", // use the built-in series
"10. x/(1+x-2x^2)", //use partial fractions
"11. 1/(x^2+x+1)", //multiply num and denom by x-1
"12. 1/((1-x)(1-x^2))", // partial fractions
"13. ln cos x",
"14. x/(e^x-1)",
"15. x cot x",
"16. cot x",
"17. ln (sin(x)/x)",
""};