$\frac{4x^{2}y^{7}}{8x^{3}y^{2}}$

$\lim_{x\to0}\left(\frac{\sqrt{2}-\sqrt{1-\cos\left(x\right)}}{\sin\left(^2\right)x}\right)$

$\frac{d}{dx}+20y=24$

$\cos\left(34\right)\cos\left(2\right)+\sin\left(35\right)\sin\left(5\right)$

$\int\tan8x\:dx$

$\lim_{n\to1}\left(\frac{x^3n^3}{e^{x^3n^3}}\right)$

$\frac{d}{dx}\cot\left(x\right)=-\csc\left(x\right)$