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intsqrt((a-x)/(x))dx=...

`intsqrt((a-x)/(x))dx=`

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
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