Integral von $$$\sin{\left(y \right)}$$$

Bestimme $$$\int \sin{\left(y \right)}\, dy$$$.

Das Integral des Sinus lautet $$$\int{\sin{\left(y \right)} d y} = - \cos{\left(y \right)}$$$:

$${\color{red}{\int{\sin{\left(y \right)} d y}}} = {\color{red}{\left(- \cos{\left(y \right)}\right)}}$$

Daher,

$$\int{\sin{\left(y \right)} d y} = - \cos{\left(y \right)}$$

Fügen Sie die Integrationskonstante hinzu:

$$\int{\sin{\left(y \right)} d y} = - \cos{\left(y \right)}+C$$

$$$\int \sin{\left(y \right)}\, dy = - \cos{\left(y \right)} + C$$$A