integral of 1/(1 + cosx)^2

[redshift]

Just finished working out the integral of 1/(1 + cosx)^2 as
(1/2)(tan(x/2)) + (1/6)(tan (x/2))^3 + C
I'm just wondering whether it's possible to use any substitutions to simplify this further.

regards

[arildno]

I think it's simple enough..

[usman94]

hi.
i've jux come across calculating the exact same integral (except that it's definite!!!). i tried to solve it using different substitutions bt all in vain. So. culd somebody post the complete solution here.