Integral of $$$f^{2}$$$

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

Find $$$\int f^{2}\, df$$$.

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

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

Therefore,

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

Add the constant of integration:

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

$$$\int f^{2}\, df = \frac{f^{3}}{3} + C$$$A