$\left((a-b+c)^{(2a-3d)}\right)^f$

$5.50+2.75-3.50$

$\frac{m^{2}n^{2}-1}{\sqrt{mn}+1}$

$\int_0^{ln\sqrt{3}}\left(\frac{e^x}{1+e^{2x}}\right)dx$

$6x^2=6$

$\int_4^xe^{3u}du$

$\lim\:_{x\to\:2}\left(\frac{ln\left(cos\left(2x-4\right)\right)}{ln\left(cos\left(x-2\right)\right)}\right)$