$\int_0^1\left(\frac{5lnx}{\sqrt{x}}\right)dx$

$3x+1\left(3x^3-5x^2+4x+2\right)$

$\frac{d}{dx}\left(x^2y^8\right)$

$sin^2\left(x\right)\left(1+\frac{1}{tan^2\left(x\right)}\right)=1$

$xy\frac{dy}{dx}=\frac{1}{\left(x+1\right)}$

$\frac{d^4y}{dx^4}\left(x^4-2x^3-4x^2-5x+2\right)$

$\int_1^3\left(x\ln\left(\frac{2}{x^2}\right)\right)dx$