$\int_{-3}^{4}\frac{8x^2+12x+12}{x^3-3x^2+3x-9}dx$

$\int_{-\infty}^{\infty}\left(\frac{1}{2x^2\left(x-1\right)}\right)dx$

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

$\int_0^1\left(\frac{x}{1-x^2}\right)dx$

$\int\frac{dx}{x^2+7x-6}$

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

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

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