Integral of $$$6 \pi^{2} y^{2}$$$ with respect to $$$x$$$

The calculator will find the integral/antiderivative of $$$6 \pi^{2} y^{2}$$$ with respect to $$$x$$$, with steps shown.

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

Apply the constant rule $$$\int c\, dx = c x$$$ with $$$c=6 \pi^{2} y^{2}$$$:

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

Therefore,

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

Add the constant of integration:

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

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

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