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int(x^((1)/(2)))/(sqrt(1-x^(3)))dx=(2)/(...

`int(x^((1)/(2)))/(sqrt(1-x^(3)))dx=(2)/(3)go f(x)+c` then....

A

`f(x)= sqrt(x)g(x)=sin^(-1)x`

B

`f(x)=x^((3)/(2)),(g)/(x)= sin x`

C

`f(x)=x^((3)/(2)),(g)/(x)= sin^(-1)s x`

D

`f(x)=x^((3)/(2))g(x)=sin^(-1)x`

Text Solution

Verified by Experts

The correct Answer is:
D
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