$\int\left(2x^3\right)\left(x+2\right)dx$

$\left(7m^3n^2\right)\left(-2m^5n^4\right)$

$\int16\cdot e^{4x}sin4x\:dx$

$6x^2+30x+36$

$\lim_{x\to\infty}\left(\frac{5x}{2^x+1}\right)$

$-\left(3+5\right)+\left(-8-2\right)$

$y'\left(x\right)\:+\:\left(3x^2\:+\:2x\right)y\:=\:cos\left(x\right)\:e^{\left(-x^3-x^2\right)}$