Példa

$\int \sin^2(x) dx=\int \sin(x)\sin(x) dx=-\sin(x)\cos(x)-\int-\cos(x)\cos(x) dx... ...s(x)+\int 1-\sin^2(x) dx \Rightarrow \int \sin^2(x) dx={x-\sin(x)\cos(x)\over2}$