Question
Evaluate the integrals in Exercises 51–56 by making a substitution
(possibly trigonometric) and then applying a reduction formula.
`csc³ Vē
do
e' sec³ (e' – 1) dt
51.
52.
V3/2
dy
2Vx? + 1 dx
53.
54.
(1 – y²)5/2
•1/V3
(r² – 1)3/2
dr
dt
55.
56.
(² + 1)7/2

Image Transcription

Evaluate the integrals in Exercises 51–56 by making a substitution (possibly trigonometric) and then applying a reduction formula. `csc³ Vē do e' sec³ (e' – 1) dt 51. 52. V3/2 dy 2Vx? + 1 dx 53. 54. (1 – y²)5/2 •1/V3 (r² – 1)3/2 dr dt 55. 56. (² + 1)7/2

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