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