$\int_0^{x^a}\left(e^{\frac{y}{x}}\right)dy$

$-\frac{3}{4}a^2b-6b^3+2a^3-\frac{1}{2}ab^2-2b^3+\frac{1}{3}a^2b-ab^2$

$\frac{dy}{dx}=\frac{1}{3}y\left(6-y\right)$

$x^2+\frac{4}{9}x$

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

$\int x^2e^{-\frac{2x}{a}}dx$

$-3n\:+\:3\left(-7\:+\:8n\right)\:=\:126$