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

$\lim_{x\to0}\left(\frac{x+4}{\sqrt[2]{3x+13}-1}\right)$

$\int2x\cdot\sqrt{2x-93}$

$\frac{d^4y}{dx^4}=x^2-2x^3-4x^2-5x+2$

$\frac{1}{2}y+\frac{1}{2}y$

$25a^5b^4c-100a^5b^3c^4+150a^3b^3c^4$

$\int2x^3\cdot\ln\left(x\right)^2dx$