integrate with respect to x
integral of cos x / (2 - cos x) dx
The Attempt at a Solution
I attempted to use the substitution of tan (x/2) but got lost in it. I dont think it was correct to subsititute t = tan(x/2) because it was not in the correct form. [am i right in thinking to substitute in t=tan(x/2) we need an equation of the form 1 / (a + bsinx + ccosx) ?]
I also tried dividing top and bottom by cos x but I am unsure if this would lead me anywhere.
I'm hoping for a little pointer in how to start.