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int [(sqrt(x))/sqrt(a^(3)-x^(3))]dx=g(x)...

`int [(sqrt(x))/sqrt(a^(3)-x^(3))]dx=g(x)+c rArr g(x)=`

A

`(2)/(3)Cos^(-1)-x`

B

`(2)/(3)Sin^(-1)((x^(3))/(a^(3)))`

C

`(2)/(3)Sin^(-1)((sqrt(x^3))/sqrt(a^(3)))`

D

`(2)/(3)Cos^(-1)((x)/(a))`

Text Solution

Verified by Experts

The correct Answer is:
C
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