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The intergral int x cos^(-1) ((1-x^(2))/...

The intergral `int x cos^(-1) ((1-x^(2))/(1+x^(2))) dx, (x gt 0)` is equal to

A

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

B

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

C

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

D

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

Text Solution

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The correct Answer is:
D
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