Integrate the function $\frac{1}{\cos\left(x\right)-1}$ from 0 to $\pi $

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

$\int_e^{\infty}\left(\frac{1}{x\left(\ln\left(x\right)\right)^3}\right)dx$

Evaluate the integral

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

Evaluate the integral

$\int_0^{\infty}\left(\frac{1}{\sqrt{x}+x^2}\right)dx$