$\displaystyle \int\frac{cos(x)}{1+sin(x)} dx$
i need a little help evaluating this problem
$\displaystyle \int {\frac{{\cos x}}
{{1 + \sin x}}\,dx} = \int {\frac{{(1 + \sin x)'}}
{{1 + \sin x}}\,dx} = \ln \left| {1 + \sin x} \right| + c$
It's useful remember that $\displaystyle \int {\frac{{f'(x)}}
{{f(x)}}\,dx} = \ln \left| {f(x)} \right| + c$