Integral de $$$y \sin^{2}{\left(y \right)}$$$ con respecto a $$$x$$$

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

Aplica la regla de la constante $$$\int c\, dx = c x$$$ con $$$c=y \sin^{2}{\left(y \right)}$$$:

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

Por lo tanto,

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

Añade la constante de integración:

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

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