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int(x^2)/(sqrt((a^2-x^2)^3))dx=...

`int(x^2)/(sqrt((a^2-x^2)^3))dx=`

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
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