Integral von $$$y \sin^{2}{\left(y \right)}$$$ nach $$$x$$$

Bestimme $$$\int y \sin^{2}{\left(y \right)}\, dx$$$.

Wenden Sie die Konstantenregel $$$\int c\, dx = c x$$$ mit $$$c=y \sin^{2}{\left(y \right)}$$$ an:

$${\color{red}{\int{y \sin^{2}{\left(y \right)} d x}}} = {\color{red}{x y \sin^{2}{\left(y \right)}}}$$

Daher,

$$\int{y \sin^{2}{\left(y \right)} d x} = x y \sin^{2}{\left(y \right)}$$

Fügen Sie die Integrationskonstante hinzu:

$$\int{y \sin^{2}{\left(y \right)} d x} = x y \sin^{2}{\left(y \right)}+C$$

$$$\int y \sin^{2}{\left(y \right)}\, dx = x y \sin^{2}{\left(y \right)} + C$$$A