Question

integral cos(t)/1+sin(t)

Answer 1

It's a weird trigo substitution, \(t=\tan\dfrac{x}{2}\). Find out more here http://en.wikipedia.org/wiki/Tangent_half-angle_substitution

Answer 2

is it just let z = 1+sint
dz = cost
hence,
\[\frac{ dz }{ z }\]

Answer 3

Or, if you're integrating over a period, there's a neat method using complex analysis, but the sub should suit your needs.

Answer 4

am i wrong there?

Answer 5

And of course, there's always the quick and easy substitution @Yttrium :P

Answer 6

Sorry, got ahead of myself there.