Integral von $$$\sec^{2}{\left(y \right)}$$$

Bestimme $$$\int \sec^{2}{\left(y \right)}\, dy$$$.

Das Integral von $$$\sec^{2}{\left(y \right)}$$$ ist $$$\int{\sec^{2}{\left(y \right)} d y} = \tan{\left(y \right)}$$$:

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

Daher,

$$\int{\sec^{2}{\left(y \right)} d y} = \tan{\left(y \right)}$$

Fügen Sie die Integrationskonstante hinzu:

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

$$$\int \sec^{2}{\left(y \right)}\, dy = \tan{\left(y \right)} + C$$$A