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If f (x) = cos x - cos ^(2) x + cos ^(3)...

If `f (x) = cos x - cos ^(2) x + cos ^(3) x -... ` to `oo,` then `int f (x) dx ` equals to :

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
D
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