$\int\frac{\left(x^2+7\right)}{\left(x+3\right)\left(x^2+x+5\right)}dx$

$\:\:\frac{5^3}{5^2}$

$\left(x^5-\frac{1}{5}\right)\left(x^5+\frac{7}{5}\right)$

$\int8x^3\cdot\frac{1}{sqrt\left(10+x^2\right)}dx$

$\lim_{x\to0}\left(x^3e^{.2x}\right)$

$e^{2y}y'=\frac{xe^{2x}}{4x^2+4x+1}$

$\int\:\frac{\sqrt{x^2-16}}{3x}dx$