Uploaded December 2022 | Updated September 2026, 1 week ago
100 integrals part 2! Including integration by parts, u-substitution, trig substitution, partial fraction decomposition, reverse power rule for integrals, integral reduction formulas, Weierstrass substitution, improper integrals, special functions, Feynman's technique of integration, integration with power series, the Gaussian Integral, double integrals, Jacobian, polar coordinate, change the order of integration, and more!
Get the file & answer key on my Patreon π patreon.com/posts/102752235
100 integrals (original) π youtu.be/dgm4-3-Iv3s
-------------------------------
Thanks to Nathaniel Barnett for the time stamps!
0:00 100 integrals part 2!
Q1, 0:00:46 integral of 2022
Q2, 0:03:03 integral by trig identities and u-sub
Q3, 0:08:23 integral by trig sub
Q4, 0:12:34 integral by u-sub and integration by parts
Q5, 0:17:02
Q6, 0:19:42
Q7, 0:30:07
Q8, 0:33:45
Q9, 0:37:58
Q10, 0:45:16
Q11, 0:48:30
Q12, 0:53:16
Q13, 0:59:06
Q14, 0:58:34
Q15, 1:00:41
Q16, 1:04:56
Q17, 1:07:27
Q18, 1:12:27
Q19, 1:14:42
Q20, 1:18:50
Q21, 1:22:30 integral of x^n*e^x
Q22, 1:25:14 integral of (ln(x))^n
Q23, 1:27:40 integral of sin^n(x)
Q24, 1:37:44 integral of tan^n(x)
Q25, 1:42:58 integral of sec^n(x)
Q26, 1:52:14
Q27, 1:54:45
Q28, 1:57:45
Q29, 2:01:49
Q30, 2:04:49
Q31, 2:24:38 integral of sec(x) by Weierstrass Substitution
Q32, 2:27:17
Q33, 2:31:25
Q34, 2:35:00
Q35, 2:37:20
Q36, 2:42:02
Q37, 2:44:24
Q38, 2:50:18
Q39, 2:51:53
Q40, 2:56:12
Q41, 3:00:21
Q42, 3:04:07
Q43, 3:06:45
Q44, 3:11:58
Q45, 3:19:02
Q46, 3:24:19
Q47, 3:28:36
Q48, 3:31:54
Q49, 3:33:44
Q50, 3:43:40
Q51, 3:49:16
Q52, 3:55:44
Q53, 3:59:50
Q54, 4:03:18 integral of x/(1+e^x)
Q55, 4:08:21 integral of e^x/(1+x)
Q56, 4:09:21 integral of e^e^x
Q57, 4:10:27 integral of ln(ln(x))
Q58, 4:12:40
Q59, 4:14:28
Q60, 4:19:48 integral of the Lambert W function
Q61, 4:25:39 improper integral of 1/x^p from 1 to inf
Q62, 4:28:52
Q63, 4:29:32
Q64, 4:32:55
Q65, 4:35:29 the Gaussian Integral
Q66, 4:50:04
Q67, 4:55:42
Q68, 4:58:36 integral of ln(x) from 0 to 1
Q69, 5:02:56
Q70, 5:10:32
Q71, 5:13:24 integral of ln(x)/(x-1) from 0 to 1
Q72, 5:21:08 integral of (x-1)/ln(x) from 0 to 1
Q73, 5:28:08 integral by symmetry
Q74, 5:34:14 integral by even and odd function properties
Q75, 5:43:16
Q76, 5:51:17
Q77, 5:52:58
Q78, 6:00:28 the Dirichlet integral, the integral of sin(x)/x from 0 to inf
Q79, 6:08:10
Q80, 6:13:28
Q81, 6:37:48 double integral & change the order of integration
Q82, 6:45:45
Q83, 6:49:24
Q84, 6:54:00
Q85, 6:57:25
Q86, 7:03:50
Q87, 7:07:33
Q88, 7:11:11
Q89, 7:17:27
Q90, 7:21:37
Q91, 7:28:52
Q92, 7:37:47
Q93, 7:55:15
Q94, 8:07:00
Q95, 8:10:24
Q96, 8:21:05
Q97, 8:22:55
Q98, 8:26: 30
Q99, 8:29: 59
Q100, 8:33:33
Q101, 8:38:32 the BIG integral from the Berkeley Math Tournament
100 integrals part 2! Including integration by parts, u-substitution, trig substitution, partial fraction decomposition, reverse power rule for integrals, integral reduction formulas, Weierstrass substitution, improper integrals, special functions, Feynman's technique of integration, integration with power series, the Gaussian Integral, double integrals, Jacobian, polar coordinate, change the order of integration, and more!
Get the file & answer key on my Patreon π patreon.com/posts/102752235
100 integrals (original) π youtu.be/dgm4-3-Iv3s
-------------------------------
Thanks to Nathaniel Barnett for the time stamps!
0:00 100 integrals part 2!
Q1, 0:00:46 integral of 2022
Q2, 0:03:03 integral by trig identities and u-sub
Q3, 0:08:23 integral by trig sub
Q4, 0:12:34 integral by u-sub and integration by parts
Q5, 0:17:02
Q6, 0:19:42
Q7, 0:30:07
Q8, 0:33:45
Q9, 0:37:58
Q10, 0:45:16
Q11, 0:48:30
Q12, 0:53:16
Q13, 0:59:06
Q14, 0:58:34
Q15, 1:00:41
Q16, 1:04:56
Q17, 1:07:27
Q18, 1:12:27
Q19, 1:14:42
Q20, 1:18:50
Q21, 1:22:30 integral of x^n*e^x
Q22, 1:25:14 integral of (ln(x))^n
Q23, 1:27:40 integral of sin^n(x)
Q24, 1:37:44 integral of tan^n(x)
Q25, 1:42:58 integral of sec^n(x)
Q26, 1:52:14
Q27, 1:54:45
Q28, 1:57:45
Q29, 2:01:49
Q30, 2:04:49
Q31, 2:24:38 integral of sec(x) by Weierstrass Substitution
Q32, 2:27:17
Q33, 2:31:25
Q34, 2:35:00
Q35, 2:37:20
Q36, 2:42:02
Q37, 2:44:24
Q38, 2:50:18
Q39, 2:51:53
Q40, 2:56:12
Q41, 3:00:21
Q42, 3:04:07
Q43, 3:06:45
Q44, 3:11:58
Q45, 3:19:02
Q46, 3:24:19
Q47, 3:28:36
Q48, 3:31:54
Q49, 3:33:44
Q50, 3:43:40
Q51, 3:49:16
Q52, 3:55:44
Q53, 3:59:50
Q54, 4:03:18 integral of x/(1+e^x)
Q55, 4:08:21 integral of e^x/(1+x)
Q56, 4:09:21 integral of e^e^x
Q57, 4:10:27 integral of ln(ln(x))
Q58, 4:12:40
Q59, 4:14:28
Q60, 4:19:48 integral of the Lambert W function
Q61, 4:25:39 improper integral of 1/x^p from 1 to inf
Q62, 4:28:52
Q63, 4:29:32
Q64, 4:32:55
Q65, 4:35:29 the Gaussian Integral
Q66, 4:50:04
Q67, 4:55:42
Q68, 4:58:36 integral of ln(x) from 0 to 1
Q69, 5:02:56
Q70, 5:10:32
Q71, 5:13:24 integral of ln(x)/(x-1) from 0 to 1
Q72, 5:21:08 integral of (x-1)/ln(x) from 0 to 1
Q73, 5:28:08 integral by symmetry
Q74, 5:34:14 integral by even and odd function properties
Q75, 5:43:16
Q76, 5:51:17
Q77, 5:52:58
Q78, 6:00:28 the Dirichlet integral, the integral of sin(x)/x from 0 to inf
Q79, 6:08:10
Q80, 6:13:28
Q81, 6:37:48 double integral & change the order of integration
Q82, 6:45:45
Q83, 6:49:24
Q84, 6:54:00
Q85, 6:57:25
Q86, 7:03:50
Q87, 7:07:33
Q88, 7:11:11
Q89, 7:17:27
Q90, 7:21:37
Q91, 7:28:52
Q92, 7:37:47
Q93, 7:55:15
Q94, 8:07:00
Q95, 8:10:24
Q96, 8:21:05
Q97, 8:22:55
Q98, 8:26: 30
Q99, 8:29: 59
Q100, 8:33:33
Q101, 8:38:32 the BIG integral from the Berkeley Math Tournament
