# Math Help - Quite easy integration, but can't make it work!

1. ## Quite easy integration, but can't make it work!

What is the integral of: (4sin(x))/(2+cos(x)) . Thank you.

2. Have you learned U-substitution? Always try to pull out some constant to make the integrand simpler. In this case 4 can be pulled out and from there it's a simple u-substitution with 2 + cos(x) = u, du = -sin(x). Can you take it from here?

3. Originally Posted by charlie8529
What is the integral of: (4sin(x))/(2+cos(x)) . Thank you.
$\int {\frac{{4\sin x.dx}}
{{2 + \cos x}}} \hfill \\$

${\text{Let }}2 + \cos x = u \hfill \\$

$- \sin x.dx = du \hfill \\$

now finish it

answer $= - 4\log \left( {2 + \cos x} \right) + c \hfill \\$

4. I've got a whole sheet of these to do, please could you finish off this one so i can have a worked example to make sure i do it right. Thank you.