How Do You Integrate 1/(k + sin(x))?

[darkfeffy]

Hi

Could anyone give me a hint on getting a closed form for the following integral:

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

where k is a constant.

Thanks.
e.

 

[R136a1]

The world's most sneakiest substitution: http://en.wikipedia.org/wiki/Tangent_half-angle_substitution

 

[darkfeffy]

Thanks for the tip.