$\int\frac{-x^3+27}{e^{-5x}}dx$

$ln\left(x+1\right)\:a=0$

$\left(1-\sqrt{2}\right)^5$

$\lim_{x\to2}\left(\frac{\sqrt{4-x}-\sqrt{2}}{x-2}\right)$

$\frac{1}{\left(2x+1\right)^{\frac{3}{2}}}-\frac{3\left(x+1\right)}{\left(2x+1\right)^{\frac{5}{2}}}$

$\int\left(\sqrt{y+4}\right)dy$

$\frac{3u}{u-1}+1$