Calcular la integral de logaritmos $\int\frac{1}{2}x\ln\left(x\right)dx$

Calcular la integral

$\int x^3\log\left(x\right)dx$

Calcular la integral

$\int\ln\left(\sqrt{x}+\sqrt{1+x}\right)dx$

Calcular la integral

$\int x^2\ln Xdx$

Calcular la integral

$\int x^2\:lnx\:dx$

Calcular la integral

$\int\:x\:ln\:2x\:dx$

Calcular la integral

$\int xLnxdx$

Calcular la integral

$\int x\:ln\left(2x\right)dx$