REFERENCE page 7 TABLE OF INTEGRALS Forms Involving va-u.a>0 30.∫-=号后-+gsim+C 3∫A@-rh-营r-后-r+g如片+c 32T山-0-7-an+a-严|+c n.j-rh=长or-oi0-+答如+c t uryc Forms Involvingvu-a,a>0 8∫原-Ga-片原--受u+原-@列+C 4o∫2-aa-gar2-a的-a-galu+m-al+c 41.「-a血=-a-aow品+C a 4ajo德a=l+aa1+c (continued) (continued) Cut here and keep for reference Forms Involving sa2 2 u2 , a . 0 30. y sa2 2 u2 du − u 2 sa2 2 u2 1 a2 2 sin21 u a 1 C 31. y u2 sa2 2 u2 du − u 8 s2u2 2 a2 d sa2 2 u2 1 a4 8 sin21 u a 1 C 32. y sa2 2 u2 u du − sa2 2 u2 2 a ln Z a 1 sa2 2 u2 u Z 1 C 33. y sa2 2 u2 u2 du − 2 1 u sa2 2 u2 2 sin21 u a 1 C 34. y u2 du sa2 2 u2 − 2 u 2 sa2 2 u2 1 a2 2 sin21 u a 1 C 35. y du usa2 2 u2 − 2 1 a ln Z a 1 sa2 2 u2 u Z 1 C 36. y du u2 sa2 2 u2 − 2 1 a2 u sa2 2 u2 1 C 37. y sa2 2 u2 d 3y2 du − 2 u 8 s2u2 2 5a2 dsa2 2 u2 1 3a4 8 sin21 u a 1 C 38. y du sa2 2 u2 d 3y2 − u a2 sa2 2 u2 1 C Forms Involving su2 2 a2 , a . 0 39. y su2 2 a2 du − u 2 su2 2 a2 2 a2 2 ln | u 1 su2 2 a2 | 1 C 40. y u2 su2 2 a2 du − u 8 s2u2 2 a2 d su2 2 a2 2 a4 8 ln | u 1 su2 2 a2 | 1 C 41. y su2 2 a2 u du − su2 2 a2 2 a cos21 a | u | 1 C 42. y su2 2 a2 u2 du − 2 su2 2 a2 u 1 ln | u 1 su2 2 a2 | 1 C 43. y du su2 2 a2 − ln | u 1 su2 2 a2 | 1 C 44. y u2 du su2 2 a2 − u 2 su2 2 a2 1 a2 2 ln | u 1 su2 2 a2 | 1 C 45. y du u2 su2 2 a2 − su2 2 a2 a2 u 1 C 46. y du su2 2 a2 d 3y2 − 2 u a2 su2 2 a2 1 C TABLE OF INTEGRALS REFERENCE page 7 Copyright 2021 Cengage Learning. All Rights Reserved. May not be copied, scanned, or duplicated, in whole or in part. Due to electronic rights, some third party content may be suppressed from the eBook and/or eChapter(s). Editorial review has deemed that any suppressed content does not materially affect the overall learning experience. Cengage Learning reserves the right to remove additional content at any time if subsequent rights restrictions require it