Solve the integral of logarithmic functions $\int\left(\frac{x^3}{\sqrt{x^4-1}}-\ln\left(4\right)\right)dx$

Find the integral

$\int x^2\ln Xdx$

Find the integral

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

Find the integral

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

Find the integral

$\int xLnxdx$

Find the integral

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

Find the integral

$\int\sqrt{x}\ln xdx$

Find the integral

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