Integral von $$$\sec{\left(\theta \right)}$$$ nach $$$x$$$

Bestimme $$$\int \sec{\left(\theta \right)}\, dx$$$.

Wenden Sie die Konstantenregel $$$\int c\, dx = c x$$$ mit $$$c=\sec{\left(\theta \right)}$$$ an:

$${\color{red}{\int{\sec{\left(\theta \right)} d x}}} = {\color{red}{x \sec{\left(\theta \right)}}}$$

Daher,

$$\int{\sec{\left(\theta \right)} d x} = x \sec{\left(\theta \right)}$$

Fügen Sie die Integrationskonstante hinzu:

$$\int{\sec{\left(\theta \right)} d x} = x \sec{\left(\theta \right)}+C$$

$$$\int \sec{\left(\theta \right)}\, dx = x \sec{\left(\theta \right)} + C$$$A