100 INTEGRALS (world record?)

All integration techniques included! Integration by parts, DI method, reverse power rule, u-substitution, trigonometric substitution, integration by substitution, integration by partial fraction decomposition, trigonometric integrals, and more. 100 integrals for calculus 1, calculus 2, and AP Calculus students. 😃 Update with Lars (stage 3 cancer survivor): 😃 Try the problems first: 😃 Solutions by Jackw11111: 😃 Calculus Finisher t-shirt: Q1 to Q25, myself Hello: 0:00 1, Integral of tan^5(x)*sec^3(x), 2:19 2, Integral of cos(2x)/(sin(x) cos(x)), 5:58 3, Integral of (x^2 1)/(x^4-x^2 1), 8:00 4, Integral of (x e^x)^2, 12:00 5, Integral of csc^3(x)*sec(x), 14:00 6, Integral of cos(x)/(sin^2(x)-5sin(x)-6), 20:00 7, Integral of 1/sqrt(e^x), 23:38 8, Integral of e^x*sqrt(e^x-1)/(e^x 3), 25:51 9, Integral of 1/(x sqrt(x)), 32:04 10, Integral of abs(x-3) from -1 to 5, 34:39 11, Integral of sin(x)/sec^2019(x), 37:19 12, Integral of x*sin^-1(x)/sqrt(1-x^2), 39:00 13, Integral of 2sin(x)/sin(2x), 43:06 14, Integral of cos^2(2x), 45:36 15, Integral of 1/(x^3 1), 47:55 16, Integral of x*sin^2(x), 1:01:07 17, Integral of (x 1/x)^2, 1:04:45 18, Integral of 3/(x^2 4x 29), 1:06:00 19, Integral of cot^5(x), 1:08:08 20, Integral of tan(x)/(x^4-x^2 1) from -1 to 1, 1:12:06 21, Integral of sin^3(x)*cos^2(x), 1:13:43 22, Integral of 1/(x^2*sqrt(x^2 1)), 1:16:16 23, Integral of sin(x)*sec(x)*tan(x), 1:20:15 24, Integral of sec^3(x), 1:21:30 25, Integral of 1/(x*sqrt(9x^2-1)), 1:25:30 Thanks to GaMeR 123 26. 1:29:48 integral of cos(sqrt x) 27. 1:31:35 integral of cosec x 28. 1:34:09 integral of sqrt(x^2 4x 13) 29. 1:43:26 integral of e^2x*cosx 30. 1:46:43 integral of (x-3)^9 from 3 to 5 31. 1:49:32 integral of (x-x^(3/2))^-1/2 32. 1:52:37 integral of (x-x^2)^-1/2 33. 1:56:03 integral of e^(2lnx) 34. 1:56:57 integral of lnx/sqrt x 35. 2:00:32 integral of 1/e^x e^-x 36. 2:01:57 integral of log(x) base 2 37. 2:05:15 integral of x^3*sin2x 38. 2:08:32 integral of x^2[1 x^3]^1/3 39. 2:12:30 40. 2:19:38 integral of sqrt(x^2-1) from 1 to 2 41. 2:27:29 integral of sinh(x) 42. 2:28:50 integral of (sinhx)^2 43. 2:32:53 integral of (sinhx)^3 44. 2:35:03 integral of 1/sqrt(x^2 1) 45. 2:36:34 integral of ln(x sqrt(x^2 1) 46. 2:39:23 integral of tanh(x) 47. 2:40:59 integral of sech(x) 48. 2:48:37 integral of tanh inverse of x 49. 2:43:15 integral of sqrt(tanhx) 50. 2:51:20 integral of [x] from 0 to 5 51. 2:53:40 integral of (secx)^6 BIG thanks to Angel Mendez-Rivera 52, Integral of 1/(5x-2)^4, 2:55:51 53, Integral of ln(1 x^2), 2:57:18 54, Integral of 1/(x^4 x), 3:00:42 55, Integral of (1-tan(x))/(1 tan(x)), 3:03:09 56, Integral of x·sec(x)·tan(x), 3:05:08 57, Integral of arcsec(x), 3:06:45 58, Integral of (1-cos(x))/(1 cos(x)), 3:11:20 59, Integral of (x^2)sqrt(x 4), 3:14:46 60, Integral of sqrt(4-x^2) from -1 to 1, 3:18:38 61, Integral of sqrt(x^2 4x), 3:25:10 62, Integral of (x^2)e^(x^3), 3:36:48 63, Integral of (x^3)e^(x^2), 3:37:27 64, Integral of tan(x)ln(cos(x)), 3:39:55 65, Integral of 1/(x^3-4x^2), 3:42:11 66, Integral of sin(x)cos(2x), 3:50:00 67, Integral of 2^ln(x), 3:58:06 68, Integral of sqrt(1 cos(2x)), 4:01:21 69, Integral of 1/(1 tan(x)), 4:02:40 70, Integral of sqrt(1- ln(x)^2)/x from 1/e to e, 4:07:13 71-72, Integral of 1/(cbrt(x) 1) & Integral of 1/cbrt(x 1), 4:10:30 73, Integral of (sin(x) cos(x))^2, 4:14:10 74, Integral of 2xln(1-x), 4:16:00 75, Integral of 1/(x(1 sin(ln(x))^2)), 4:19:34 76, Integral of sqrt((1-x)/(1 x)), 4:25:48 77, Integral of x^(x/ln(x)), 4:27:52 78, Integral of arcsin(sqrt(x)), 4:29:12 79, Integral of arctan(x), 4:39:16 80, Integral of f(x) from 0 to 5, f(x) is a piecewise function, 4:41:32 81, Integral of sin(1/x)/x^3, 4:44:11 82, Integral of (x-1)/(x^4-1), 4:47:18 83, Integral of sqrt(1 (x-1/(4x))^2), 4:52:49 84, Integral of e^tan(x)/(1-sin(x)^2), 4:55:17 85, Integral of arctan(x)/x^2, 4:56:12 86, Integral of arctan(x)/(1 x^2), 5:00:28 87, Integral of ln(x)^2, 5:02:32 88, Integral of sqrt(x^2 4)/x^2, 5:06:39 89, Integral of sqrt(x 4)/x, 5:13:46 90, Integral of sin(x)^3/(cos(x)^3 sin(x)^3), 5:18:03 91, Integral of x/(1 x^4), 5:19:13 92, Integral of e^sqrt(x), 5:20:07 93, Integral of 1/csc(x)^3, 5:21:37 94, Integral of arcsin/sqrt(1-x^2), 5:24:16 95, Integral of sqrt(1 sin(2x)), 5:24:58 96, Integral of x^(1/4), 5:26:22 97, Integral of 1/(1 e^x), 5:27:47 98, Integral of sqrt(1 e^x), 5:29:13 99, Integral of sqrt(tan(x))/sin(2x), 5:34:43 100, Integral of 1/(1 sin(x)), 5:39:16 101, Integral of sin(x)/x ln(x)cos(x), 5:45:39 Mistakes 33:39 should be a du, NOT dx 1:52:05 -2 times 2 equals -4, NOT -1 3:32:30 2*(1/2)*(1/2) = 1/2, NOT 1 5:16:56 MUST use absolute value since sqrt(x 4)-2 could be neg