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int(xtan^-1x)/(1+x^2)^(3/2)dx...

`int(xtan^-1x)/(1+x^2)^(3/2)dx`

A

`(x+tan^(-1)x)/sqrt(1+x^(2))+c`

B

`(x-tan^(-1)x)/sqrt(1+x^(2))+c`

C

`(tan^(-1)x-x)/sqrt(1+x^(2))+c`

D

`(1-tan^(-1)x)/sqrt(1+x^(2))+c`

Text Solution

Verified by Experts

The correct Answer is:
B
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