Integral of $$$e^{4}$$$

Apply the power rule $$$\int e^{n}\, de = \frac{e^{n + 1}}{n + 1}$$$ $$$\left(n \neq -1 \right)$$$ with $$$n=4$$$:

$${\color{red}{\int{e^{4} d e}}}={\color{red}{\frac{e^{1 + 4}}{1 + 4}}}={\color{red}{\left(\frac{e^{5}}{5}\right)}}$$

Therefore,

$$\int{e^{4} d e} = \frac{e^{5}}{5}$$

Add the constant of integration:

$$\int{e^{4} d e} = \frac{e^{5}}{5}+C$$

$$$\int e^{4}\, de = \frac{e^{5}}{5} + C$$$A