$\lim_{x\to-2}\left(\frac{x}{\left(x+2\right)\left(x-3\right)}\right)$

$\left(x+y\right)\cdot4=4x+4y$

$8tanx-\frac{8}{3}cotx=0$

$\lim_{x\to-\infty}\left(x^5e^x\right)$

$\int\sqrt{x}\cos\left(\sqrt{x}\right)dx$

$\lim_{x\to0}\left(\frac{\sin\left(x\right)-\sin\left(x\right)\cos\left(x\right)}{x^2}\right)$

$\int\sqrt{3x^2-15}dx$