Integral of $$$6^{x}$$$

Apply the exponential rule $$$\int{a^{x} d x} = \frac{a^{x}}{\ln{\left(a \right)}}$$$ with $$$a=6$$$:

$${\color{red}{\int{6^{x} d x}}} = {\color{red}{\frac{6^{x}}{\ln{\left(6 \right)}}}}$$

Therefore,

$$\int{6^{x} d x} = \frac{6^{x}}{\ln{\left(6 \right)}}$$

Add the constant of integration:

$$\int{6^{x} d x} = \frac{6^{x}}{\ln{\left(6 \right)}}+C$$

$$$\int 6^{x}\, dx = \frac{6^{x}}{\ln\left(6\right)} + C$$$A