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Integraal van $$$\sec^{2}{\left(t \right)}$$$
Gerelateerde rekenmachine: Rekenmachine voor bepaalde en oneigenlijke integralen
Uw invoer
Bepaal $$$\int \sec^{2}{\left(t \right)}\, dt$$$.
Oplossing
De integraal van $$$\sec^{2}{\left(t \right)}$$$ is $$$\int{\sec^{2}{\left(t \right)} d t} = \tan{\left(t \right)}$$$:
$${\color{red}{\int{\sec^{2}{\left(t \right)} d t}}} = {\color{red}{\tan{\left(t \right)}}}$$
Dus,
$$\int{\sec^{2}{\left(t \right)} d t} = \tan{\left(t \right)}$$
Voeg de integratieconstante toe:
$$\int{\sec^{2}{\left(t \right)} d t} = \tan{\left(t \right)}+C$$
Antwoord
$$$\int \sec^{2}{\left(t \right)}\, dt = \tan{\left(t \right)} + C$$$A
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