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

$\frac{x^2+6x+9}{2x+1}$

$\:\left(1+\frac{\left(-1\right)^n}{n}\right)^{n^2}\cdot\:\frac{\left(2x+1\right)^n}{n}$

$\frac{d}{dx}2x^3+2$

$-36-\left(64+2\cdot1\cdot9\right)$

$\sin\left(x\right)\cos\left(y\right)dy-\sin\left(y\right)\cos\left(x\right)dx$

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