$\int e^{2x}\left(x+c\right)dx$

$2^{8^{x-2}}=4^{4^{x-1}}$

$\frac{-2}{x-2}=1\frac{3}{x+8}$

$\int\frac{1}{x\sqrt{x^{2}+25}}dx$

$\sin\left(x\right)\tan\left(x\right)-\cos\left(x\right)\tan\left(x\right)=0$

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

$2\sin\left(x\right)^2-3\sin\left(x\right)+1$