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Evaluate: int(sin^(-1)x)/((1-x^2)^(3setm...

Evaluate: `int(sin^(-1)x)/((1-x^2)^(3setminus2))\ dx`

A

(a) `x/sqrt(1-x^(2))sin^(-1)x+1/2log(1-x^(2))+c`

B

(b) `x/sqrt(1-x^(2))sin^(-1)x-1/2log(1-x^(2))+c`

C

(c) `1/sqrt(1-x^(2))sin^(-1)x-1/2log(1-x^(2))+c`

D

(d) `1/sqrt(1-x^(2))sin^(-1)x+1/2log(1-x^(2))+c`

Text Solution

Verified by Experts

The correct Answer is:
A
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