Integral dari $$$y \sin^{2}{\left(y \right)}$$$ terhadap $$$x$$$

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

Terapkan aturan konstanta $$$\int c\, dx = c x$$$ dengan $$$c=y \sin^{2}{\left(y \right)}$$$:

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

Oleh karena itu,

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

Tambahkan konstanta integrasi:

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

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