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int(x+cot^(-1)x)((x^2)/(x^2+1))dx=...

`int(x+cot^(-1)x)((x^2)/(x^2+1))dx=`

A

`(x+cot^(-1)x)^2+c`

B

`-(x+cot^(-1)x)^2+c`

C

`(1)/(2)(x+cot^(-1)x)^2+c`

D

`(-1)/(2)(x+cot^(-1)x)^2+c`

Text Solution

Verified by Experts

The correct Answer is:
C
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