$\lim_{x\to0}\left(\frac{2}{\ln\left(1-x\right)^2}-\frac{1}{x}\right)$

$\int x^3\cdot\cos\left(1-2x\right)dx$

$\left(2x^3-3x+5\right)^2$

$\lim_{x\to0}\left(\frac{e^{4x}-1}{sin\left(t\right)}\right)$

$\frac{dy}{dx}=15-3y$

$\frac{\left(a+b\right)\cdot\sqrt{\frac{a-b}{a+b}}}{a-b}$

$\frac{dy}{dx}=\frac{y}{10}\left(5-y\right)$