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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))/(a^(3))) ) `

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
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