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intsin^-1sqrt(x/(a+x))dx...

`intsin^-1sqrt(x/(a+x))dx`

A

`a[sqrt(x/a)tan^(-1)sqrt(x/a)-sqrt(x/a)+tan^(-1)sqrt(x/a))+c`

B

`a[tan^(-1)sqrt(x/a)-sqrt(x/a)+tan^(-1)sqrt(x/a))+c`

C

`a[x/atan^(-1)sqrt(x/a)-sqrt(x/a)+tan^(-1)sqrt(x/a))+c`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
C
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