Question

integration: help please: http://gyazo.com/05fdb148964fa0c15700dc320c6305a9

Answer 1

Czesc!
\[\int\frac{\cos x}{\sin^3x+\sin x}~dx\\
\int\frac{\cos x}{\sin x\left(\sin^2x+1\right)}~dx\\
\int\frac{\cos x}{\sin x\left(\sin^2x+1\right)}~dx\]
Let \(u=\sin x~\Rightarrow~du=\cos x~dx\). Integral changes to
\[\int\frac{du}{u(u^2+1)}\]
Partial fraction decomposition, then integrate term by term.

Answer 2

got it now :)...but with the partial fraction decomposition, i think i've got to do it a couple of times to finally nail it.

dzieki wielkie ;)

Answer 3

Prosze bardzo! Jezeli potrzebujesz wiecej pomocy tylko musisz sie spytac :)