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If int(e^(x))(1-sinx)/(1-cosx)dx=f(x) co...

If `int(e^(x))(1-sinx)/(1-cosx)dx=f(x)` constant, then f(x) is equal to

A

`e^(x)cot(x/2) +c`

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
C
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