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int (cosx)/(sin^2x(sinx+cosx)) dx is equ...

`int (cosx)/(sin^2x(sinx+cosx))` dx is equal to

A

`log |(1+tanx)/(tanx)|-cot x+C`

B

`log |(tanx)/(1+tanx)|+C`

C

`log |(tanx)/(1+tanx)|-tanx+C`

D

`log |(tanx)/(1+tanx)|+cotx+C`

Text Solution

Verified by Experts

The correct Answer is:
A
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