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

$\int\left(24x-24\right)\left(4x^2-8x+6\right)dx$

$\int\log_e\left(z^2+1\right)dz$

$7\cdot5+8-4+6$

$\frac{d}{dx}\left(\left(e^x+7\right)^{-\frac{2}{x}}\right)$

$sin\:2x\:-\:sin\:x\:=\:0$

$\lim_{x\to0}\left(\frac{\tan\left(x\right)-\left(x\right)}{x-\sin\left(x\right)}\right)$