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If f(x)=(sin^(-1)x)/(sqrt(1-x^(2))) and ...

If `f(x)=(sin^(-1)x)/(sqrt(1-x^(2))) and g(x)=e^(sin^(-1)x),` then `int f(x)g(x)dx` is equal to

A

`e^(sin^(-1)x) (sin^(-1) x-1)+c`

B

`e^(sin^(-1)x) (1-sin^(-1)x)+c`

C

`e^(sin^(-1)x) (sin^(-1)x+1)+c`

D

`-e^(sin^(-1)x) (sin^(-1)x+1)+c`

Text Solution

Verified by Experts

The correct Answer is:
A
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