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If int (e^(x)(1+sinx))/(1+cosx) dx = e^(...

If `int (e^(x)(1+sinx))/(1+cosx) dx = e^(x) f(x) + c` then f(x) =

A

`e^x((1+sinx)/(1-cosx))+c`

B

`c-e^x "cot"x/2`

C

`e^(x)"tan"x/2+c`

D

`e^(x) tanx+c`

Text Solution

Verified by Experts

The correct Answer is:
C
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