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intsqrt((x)/(a^(3)-x^(3))) dx is equal t...

`intsqrt((x)/(a^(3)-x^(3)))` dx is equal to

A

`sin^(-1)((x)/(a))^((3)/(2))+c`

B

`(2)/(3)sin^(-1)((x)/(a))^((3)/(2))+c`

C

`(3)/(2)sin^(-1)((x)/(a))^((3)/(2))+c`

D

`(3)/(2)sin^(-1)((x)/(a))^((2)/(3))+c`

Text Solution

Verified by Experts

The correct Answer is:
B
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