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

$\int\left(\frac{14}{\sqrt{x^2+10}}\right)dx$

$\lim_{x\to-\infty}\left(\frac{e^x}{1+e^x}\right)$

$limx\to\:3^+\:\left(\left(\frac{1}{x-3}\right)-\left(\frac{1}{\sqrt{x-3}}\right)\right)$

$\left(\frac{1}{4}a^3b^4\right)^4$

$\int\left(\log\left(x\right)\right)^3dx$

$\frac{sin\left(x+y\right)-sinycosx}{cosy}$