$\frac{2\cot\left(x\right)^2}{1+\cot\left(x\right)^2}=2\cos\left(x\right)^2$

$f\left(x\right)=e^{-2x^3-4x^3}$

$\lim_{x\to\infty}\left(\frac{2x+1}{\sqrt{1+3x^2}}\right)$

$3\sin\left(x\right)-60^{\circ}$

$\sqrt[3]{64x^6}\cdot\sqrt[3]{2x}$

$-\frac{20}{3\pi\:}\int_{\pi}^{3\pi\:}\left(\cos\:\left(\frac{2}{3}x\right)\right)dx$

$\int\frac{\left(3x+2\right)}{\left(x^2-4\right)}dx$