Integral of $$$e^{2}$$$

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

Find $$$\int e^{2}\, de$$$.

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

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

Therefore,

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

Add the constant of integration:

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

$$$\int e^{2}\, de = \frac{e^{3}}{3} + C$$$A