The integral ∫x2x+2xxlnex2dx is equal to :

Question

The integral $\int [{(\frac{x}{2})}^{x} + {(\frac{2}{x})}^{x}] \ln (\frac{e x}{2}) d x$ is equal to :

$\left(\frac{x}{2}\right)^{x}+\left(\frac{2}{x}\right)^{x}+C$

$\left(\frac{x}{2}\right)^{x}-\left(\frac{2}{x}\right)^{x}+C$

$\left(\frac{x}{2}\right)^{x} \log _{2}\left(\frac{2}{x}\right)+C$

None

Please login to view the detailed solution steps...