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