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

Der Rechner bestimmt das Integral/die Stammfunktion von $$$\sin{\left(\theta \right)}$$$ und zeigt die Rechenschritte an.

Bestimme $$$\int \sin{\left(\theta \right)}\, d\theta$$$.

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

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

Daher,

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

Fügen Sie die Integrationskonstante hinzu:

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

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

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