Integraal van $$$\sin{\left(x_{0} \right)}$$$

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

De integraal van de sinus is $$$\int{\sin{\left(x_{0} \right)} d x_{0}} = - \cos{\left(x_{0} \right)}$$$:

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

Dus,

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

Voeg de integratieconstante toe:

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

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