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For a gt 0,if I= int sqrt((x)/(a ^(3) -x...

For `a gt 0,if I= int sqrt((x)/(a ^(3) -x ^(3)))dx =A sin ^(-1) ((x ^(3//2))/(B))+C,` where C is any arbitary constant, then:

A

`A=2/3`

B

`B=a ^(3//2)`

C

`A=1/3`

D

`B=a ^(1//2)`

Text Solution

Verified by Experts

The correct Answer is:
A, B
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