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