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

Määritä $$$\int \sec^{2}{\left(t \right)}\, dt$$$.

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

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

Näin ollen,

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

Lisää integrointivakio:

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

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