Integral von $$$\sin{\left(x_{0} \right)}$$$

Bestimme $$$\int \sin{\left(x_{0} \right)}\, dx_{0}$$$.

Das Integral des Sinus lautet $$$\int{\sin{\left(x_{0} \right)} d x_{0}} = - \cos{\left(x_{0} \right)}$$$:

$${\color{red}{\int{\sin{\left(x_{0} \right)} d x_{0}}}} = {\color{red}{\left(- \cos{\left(x_{0} \right)}\right)}}$$

Daher,

$$\int{\sin{\left(x_{0} \right)} d x_{0}} = - \cos{\left(x_{0} \right)}$$

Fügen Sie die Integrationskonstante hinzu:

$$\int{\sin{\left(x_{0} \right)} d x_{0}} = - \cos{\left(x_{0} \right)}+C$$

$$$\int \sin{\left(x_{0} \right)}\, dx_{0} = - \cos{\left(x_{0} \right)} + C$$$A