Funktion $$$\sec^{2}{\left(u \right)}$$$ integraali

Määritä $$$\int \sec^{2}{\left(u \right)}\, du$$$.

Funktion $$$\sec^{2}{\left(u \right)}$$$ integraali on $$$\int{\sec^{2}{\left(u \right)} d u} = \tan{\left(u \right)}$$$:

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

Näin ollen,

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

Lisää integrointivakio:

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

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