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

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

A

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

B

`(a^(2))/(2)"Sin"^(-1)(x)/(a)-(x)/(4)sqrt(a^(2)-x^(2))+c`

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
A
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