Solve the integral of logarithmic functions $\int\ln\left(t\right)^2dt$

Find the integral

$\int\left(\ln t\right)^2dt$

Find the integral

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

Find the integral

$\int\left(x^3\right)\log x^2dx$

Find the integral

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

Find the integral

$\int x^2\ln Xdx$

Find the integral

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

Find the integral

$\int xLnxdx$