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The value of the integral inte^(3sin^(-1...

The value of the integral `inte^(3sin^(-1)x)((1)/(sqrt(1-x^(2)))+e^(3cos^(-1)x))dx` is equal to
(where, c is an arbitrary constant)

A

`(e^(3sqrt(sin^(-1)x)))/(3)+xe^((3pi)/(2))+c`

B

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

C

`(e^(3sin^(-1)x))/(3)+xe^((3pi)/(2))+c`

D

`e^((pi)/(2))+e^(x)((pi)/(2))+c`

Text Solution

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The correct Answer is:
C
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