$\lim_{x\to\infty}\left(\frac{5x+4}{x^2-3}\right)$

$\int80\cdot\sqrt{x^2-25}dx$

$\frac{dy}{dt}=t\cdot\:\sqrt{y}$

$\int\frac{1}{x^{2}\sqrt{x^{2}-1}}dx$

$\int e^{\left(x^2-3x\right)}\left(6x-9\right)dx$

$\left(\cos\left(x\right)\cdot\left(\cos\left(x\right)-x\sin\left(x\right)\right)+\sin\left(x\right)\cdot\left(x\cos\left(x\right)\right)\right)$

$9x^2-\frac{2}{3}\left(3x-7\right)+5x^2$