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

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