Integrate the function $\frac{1}{x\ln\left(x\right)^3}$ from $e$ to $\infty $

Evaluate the integral

$\int_2^{\infty}\left(\frac{lnx}{x}\right)dx$

Evaluate the integral

$\int_0^1\left(\frac{ln\left(x\right)}{x}\right)dx$

Evaluate the integral

$\int_1^{\infty}\left(\frac{ln\left(x\right)}{x}\right)dx$

Evaluate the integral

$\int_1^{\infty}\left(\frac{lnx}{x}\right)dx$

Evaluate the integral

$\int_{-\infty}^0\left(\frac{1}{\sqrt{3-x}}\right)dx$

Evaluate the integral

$\int_{-1}^2\frac{3x}{x+4}dx$

Evaluate the integral

$\int_9^4\left(\frac{x^2}{x+1}\right)dx$