Integral of $$$v^{2}$$$

The calculator will find the integral/antiderivative of $$$v^{2}$$$, with steps shown.

Find $$$\int v^{2}\, dv$$$.

Apply the power rule $$$\int v^{n}\, dv = \frac{v^{n + 1}}{n + 1}$$$ $$$\left(n \neq -1 \right)$$$ with $$$n=2$$$:

$${\color{red}{\int{v^{2} d v}}}={\color{red}{\frac{v^{1 + 2}}{1 + 2}}}={\color{red}{\left(\frac{v^{3}}{3}\right)}}$$

Therefore,

$$\int{v^{2} d v} = \frac{v^{3}}{3}$$

Add the constant of integration:

$$\int{v^{2} d v} = \frac{v^{3}}{3}+C$$

$$$\int v^{2}\, dv = \frac{v^{3}}{3} + C$$$A

Please try a new game Rotatly