Integral of $$$\ln\left(2\right)$$$

Apply the constant rule $$$\int c\, dx = c x$$$ with $$$c=\ln{\left(2 \right)}$$$:

$${\color{red}{\int{\ln{\left(2 \right)} d x}}} = {\color{red}{x \ln{\left(2 \right)}}}$$

Therefore,

$$\int{\ln{\left(2 \right)} d x} = x \ln{\left(2 \right)}$$

Add the constant of integration:

$$\int{\ln{\left(2 \right)} d x} = x \ln{\left(2 \right)}+C$$

$$$\int \ln\left(2\right)\, dx = x \ln\left(2\right) + C$$$A