$\left(\frac{1}{x+1}\right)-\frac{1}{x+2}-\frac{5}{4}=0$

$\lim_{x\to\infty}\left(\frac{5x-2x^2}{x^3-4x^2}\right)$

$\frac{dy}{dx}=2\sqrt{1-y}\cos\left(x\right)$

$6x^2+7+2$

$3x^2\cot\left(y\right)dx-\left(x^3+1\right)\csc^2\left(y\right)dy=0$

$\int6x^2e^{-3x}dx$

$x^2+20x=-40$