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

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

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The correct Answer is:
A, B
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