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int (x^(2) + cos ^(2) x)/( x^(2) + 1)cos...

`int (x^(2) + cos ^(2) x)/( x^(2) + 1)cosec^(2) x dx ` is

A

cotx+`sin^(-1)x+c`

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
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