Integraal van $$$\sec{\left(\theta \right)}$$$ met betrekking tot $$$x$$$
Gerelateerde rekenmachine: Rekenmachine voor bepaalde en oneigenlijke integralen
Uw invoer
Bepaal $$$\int \sec{\left(\theta \right)}\, dx$$$.
Oplossing
Pas de constantenregel $$$\int c\, dx = c x$$$ toe met $$$c=\sec{\left(\theta \right)}$$$:
$${\color{red}{\int{\sec{\left(\theta \right)} d x}}} = {\color{red}{x \sec{\left(\theta \right)}}}$$
Dus,
$$\int{\sec{\left(\theta \right)} d x} = x \sec{\left(\theta \right)}$$
Voeg de integratieconstante toe:
$$\int{\sec{\left(\theta \right)} d x} = x \sec{\left(\theta \right)}+C$$
Antwoord
$$$\int \sec{\left(\theta \right)}\, dx = x \sec{\left(\theta \right)} + C$$$A
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