# Math Help - integral help

1. ## integral help

$\int\frac{cos(x)}{1+sin(x)} dx$

i need a little help evaluating this problem

2. Originally Posted by viet
$\int\frac{cos(x)}{1+sin(x)} dx$

i need a little help evaluating this problem
Use substitution:

Let $u = 1 + \sin(x)$

if you need further assistance, just ask. I'm dying to get practice with LaTex anyway

3. i guess its a two stepper thanks

4. $\int {\frac{{\cos x}}
{{1 + \sin x}}\,dx} = \int {\frac{{(1 + \sin x)'}}
{{1 + \sin x}}\,dx} = \ln \left| {1 + \sin x} \right| + c$

It's useful remember that $\int {\frac{{f'(x)}}
{{f(x)}}\,dx} = \ln \left| {f(x)} \right| + c$