Question

Evaluate:$\int e^{\ln 2+\ln x}dx$

Answer 1

$\int e^{\ln 2+\ln x}dx$

$=\int e^{\ln 2}{e}^{\ln x}dx$

$=e^{\ln 2}\int e^{\ln x}dx$

$=e^{\ln 2}\int xdx$

$=e^{\ln 2}\frac{x^2}{2}+c$ where $c$ is the constant of integration