$\frac{d}{dx}\left(y^2=x+\frac{1}{xy}\right)$

$\int x^2\log2x^3dx$

$\frac{3a^{4x}-9b^{2y}}{3b^y+\sqrt{3a^x}}$

$\ln\left(x+5\right)=\ln\left(x-1\right)-\ln\left(x+1\right)$

$\sin\left(1\right)\cdot\cot\left(1\right)=\cos\left(1\right)$

$\frac{dy}{dx}\left(y=2x^3-12x\right)$

$\int\left(\frac{\left(x+5\right)}{\sqrt{x^2+10x}}\right)dx$