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If int(cos x+ x)/( 1+sin x) dx=f(x)+ int...

If `int(cos x+ x)/( 1+sin x) dx=f(x)+ int (3 "cos" x/2 - "sin"x/2)/("cos " x/2 + "sin" x/2)` dx+c , then f(x)=

A

`(-2x) /(1+"tan"x/2)`

B

`(-x "cos " x/2)/("cos" x/2 + "sin"x/2)`

C

`(2x)/(1+"tan"x/2)`

D

`(x "cos" x/2)/("cos" x/2 + "sin" x/2)`

Text Solution

Verified by Experts

The correct Answer is:
A
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