Question

integrate cos(x)/(1+sin(x))....

Answer 1

Have you tried making the substitution \(u=1+\sin x\)?

Answer 2

I don't know what the du would be.. My teacher never taught the trig integral stuff

Answer 3

if u = 1 + sin(x)
du = cos(x) dx

plug that in and you get

\[\int\limits_{}^{}\frac{ cosx }{1 + sinx }dx = \int\limits_{}^{}\frac{ du }{ u } = \ln|u| + C\]
plug back in u = 1+ sinx

\[= \ln|1+ \sin(x)| + C \]