$\lim_{x\to2}\left(\frac{\sqrt{5x-1}-\sqrt{4x+1}}{2-x}\right)$

$\frac{-7x^3+6x^2-9x+15}{x^2-3}$

$\lim\:_{x\to\:\infty\:}\left(\frac{2e^x+5}{2x^2-1}\right)$

$\left(3+i\right)\left(3-i\right)$

$\lim_{x\to\infty}\left(\frac{\sqrt{18x^2-3x+2}}{\sqrt{2x^2+5}}\right)$

$\lim_{x\to-3}\:5\left(3x^2-24x+3\right)$

$\int x^2\left(x\ln\left(x\right)-x\right)dx$