Integraal van $$$6 \pi^{2} y^{2}$$$ met betrekking tot $$$x$$$

De rekenmachine zal de integraal/primitieve van $$$6 \pi^{2} y^{2}$$$ met betrekking tot $$$x$$$ bepalen, waarbij de stappen worden getoond.

Bepaal $$$\int 6 \pi^{2} y^{2}\, dx$$$.

Pas de constantenregel $$$\int c\, dx = c x$$$ toe met $$$c=6 \pi^{2} y^{2}$$$:

$${\color{red}{\int{6 \pi^{2} y^{2} d x}}} = {\color{red}{\left(6 \pi^{2} x y^{2}\right)}}$$

Dus,

$$\int{6 \pi^{2} y^{2} d x} = 6 \pi^{2} x y^{2}$$

Voeg de integratieconstante toe:

$$\int{6 \pi^{2} y^{2} d x} = 6 \pi^{2} x y^{2}+C$$

$$$\int 6 \pi^{2} y^{2}\, dx = 6 \pi^{2} x y^{2} + C$$$A

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