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Evaluate: intsin^(-1)sqrt(x/(a+x))dxdot...

Evaluate: `intsin^(-1)sqrt(x/(a+x))dxdot`

A

`(a+x)arc tansqrt(x/2)- sqrt(ax)+C`

B

`(a+x)arc tansqrt(a/x)+sqrt(ax)+C`

C

`(a-x)arc tansqrt(x/a)tansqrt(x/a)-sqrt(ax)+C`

D

`(a+x)arc cotsqrt(x/a)-sqrt(ax)+C`

Text Solution

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The correct Answer is:
a
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