$\left(2x^2-8\right)^3$

$6x\left(-5x^4y^2\right)$

$\lim_{x\to\frac{\pi}{2}}\left(\frac{\sin\left(x\right)-\cos\left(x\right)}{x-\frac{\pi}{4}}\right)$

$\log\left(4x\right)+\left(\frac{5}{\log\left(x\right)}\right)-9$

$\cos\left(\frac{4}{5}\right)\cos\left(-\frac{12}{13}\right)-\sin\left(\frac{3}{5}\right)\sin\left(-\frac{5}{13}\right)$

$\lim_{x\to\frac{\pi}{2}}\left(\frac{\tan\left(x\right)}{\tan\left(4x\right)}\right)$

$\int\frac{\ln\left(x\right)}{2x^3}dx$