Question

Can some one please explain to me how to do trigonometric integrations like the integral of (4 cos(x)/(1+sin(x))?

Answer 1

Let \(u = 1+\sin x\)
\(du = \cos x \, dx \) :)

Answer 2

\[\large \int\frac{4\cos x}{\sin x}\, dx \]
If \(u = 1 + sin x\)
\(du = \cos x \, dx\)
\[ \large \int\frac{4}{u}\, du\] and recall that: \[\int \frac{1}{x}\, dx=\ln|x|+C \]

Answer 3

thank you i think i understand it now (:

Answer 4

:)