Integral of $$$2 x^{2}$$$ with respect to $$$t$$$

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

Find $$$\int 2 x^{2}\, dt$$$.

Apply the constant rule $$$\int c\, dt = c t$$$ with $$$c=2 x^{2}$$$:

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

Therefore,

$$\int{2 x^{2} d t} = 2 t x^{2}$$

Add the constant of integration:

$$\int{2 x^{2} d t} = 2 t x^{2}+C$$

$$$\int 2 x^{2}\, dt = 2 t x^{2} + C$$$A

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