100 calculus 2 problems! (ultimate final exam review)

Here's the ultimate review for your Calculus 2 class. We will do 100 calculus 2 problems in one take to prepare for your calculus 2 final exam! Topics included: all integration techniques and approximations, improper integrals, separable differential equations, slope field, Euler’s method, logistic differential equations, sequence, all series convergence tests, power series for common functions and how to use them, integration formulas for area, volume, arc length, surface area, centroid, work, hydrostatic force, calculus with parametric and polar equations, hyperbolic functions and more! Best of luck with your Calculus 2 class!

For calc 3 and beyond, please check out

0:00 Yes, I am serious!
Q1. 2:42
Q2. 6:30
Q3. 11:40
Q4. 15:40
Q5. 18:38
Q6. 23:24
Q7. 27:08
Q8. 32:26
Q9. 36:41
Q10. 40:45
Q11. 44:05
Q12. 45:15
Q13. 49:01
Q14. 54:32
Q15. 56:30
Q16. 57:47
Q17. 1:02:15
Q18. 1:04:00
Q19. 1:10:14
Q20. 1:13:07
Q21. accidentally forgot to make Q21.
Q22. 1:14:34
Q23. 1:19:00
Q24. 1:23:00
Q25. 1:28:00
Q26. 1:32:55
Q27. 1:37:55 *I meant to say 1/n! is less than 1/n^2 for large enough n so series of 1/n! also converges. But the ineq I put down was incorrect (since sum 1/n! = e-1 = 1.71 but sum of 1/n^2 = 1.6). However, a better way to do this is to use the ratio test*.
Q28. 1:40:20
Q29. 1:47:37
Q30. 1:54:45
Q31. 1:57:50
Q32. 2:09:22
Q33. 2:15:12
Q34. 2:21:10
Q35. 2:25:07
Q36. 2:30:29
Q37. 2:32:15
Q38. 2:38:30
Q39. 2:44:52
Q40. 2:49:00
Q41. 2:52:16
Q42. 3:01:20
Q43. 3:05:25
Q44. 3:15:02
Q45. 3:17:45
Q46. 3:24:00
Q47. 3:27:50
Q48. 3:30:40
Q49. 3:34:08
Q50. 3:37:44
Q51. 3:42:24
Q52. 3:46:03
Q53. 3:50:13
Q54. 3:54:03
Q55. 3:58:04
Q56. 4:02:37
Q57. 4:07:05
Q58. 4:14:28
Q59. 4:17:25
Q60. 4:20:33
Q61. 4:28:50
Q62. 4:33:30
Q63. 4:42:06
Q64. 4:46:09
Q65. 4:54:40
Q66. 4:57:38
Q67. 5:03:01
Q68. 5:06:08
Q69. 5:13:24
Q70. 5:29:54
Q71. 5:31:05
Q72. 5:33:06
Q73. 5:34:26
Q74. 5:35:52
Q75. 5:37:15
Q76. 5:38:58
Q77. 5:41:05
Q78. 5:44:00
Q79. 5:46:32
Q80. 5:49:15
Q81. 5:53:54
Q82. 5:57:10, mistake! The Sn formula should be 1/2-"1"/(n+2)!
Q83. 6:08:05
Q84. 6:14:51
Q85. 6:17:07
Q86. 6:18:48
Q87. 6:21:03
Q88. 6:24:01
Q89. 6:28:54
Q90. 6:31:57
Q91. 6:38:17
Q92. 6:44:35
Q93. 6:49:33
Q94. 6:53:26
Q95. 6:55:40
Q96. 6:57:28
Q97. 7:00:38
Q98. 7:03:05
Q99. 7:06:23
Q100. 7:09:34
Q101. 7:12:45
(Thanks to Brandon for the timestamps from Q74 to Q101)