$\frac{d^3}{dx^3}\left(4\sin\left(2x\right)-4\cos\left(4x\right)\right)$

$\frac{4x^2-121}{2x+11}$

$\int\frac{\left(1+x\right)^3}{\sqrt{x}}dx$

$9x^2\:+\:18x\:+\:9$

$\int\frac{\left(x+1\right)}{\left(x^2-4x+7\right)^2}dx$

$\lim_{x\to\infty}\left(\frac{x^x}{3^x+1}\right)$

$\left(\frac{s^2-2s+5}{\sqrt{s}}\right)$