Integral of $$$7^{x}$$$

Apply the exponential rule $$$\int{a^{x} d x} = \frac{a^{x}}{\ln{\left(a \right)}}$$$ with $$$a=7$$$:

$${\color{red}{\int{7^{x} d x}}} = {\color{red}{\frac{7^{x}}{\ln{\left(7 \right)}}}}$$

Therefore,

$$\int{7^{x} d x} = \frac{7^{x}}{\ln{\left(7 \right)}}$$

Add the constant of integration:

$$\int{7^{x} d x} = \frac{7^{x}}{\ln{\left(7 \right)}}+C$$

$$$\int 7^{x}\, dx = \frac{7^{x}}{\ln\left(7\right)} + C$$$A