$\lim_{x\to\infty}\left(\frac{\sqrt{4x+4}}{x}\right)$

$\frac{dy}{dx}-xe^y=2\cdot e^y$

$\int\left[\left(x+\sqrt{sin\left(2x+3\right)}\right)\left(x-\sqrt{sin\left(2x+3\right)}\right)\right]dx$

$\lim_{x\to0}\left(\frac{x^3-1}{x^3+2x^2-3x}\right)$

$\left(3\left(1\right)^2+18\left(1\right)+27\right)-\left(\left(1\right)^2-2\left(1\right)-3\right)$

$y'=\frac{3x}{2y}$

$\int\left(7x^6-\frac{5}{x^3}+3\left(x^3-\frac{2}{x^{\frac{1}{3}}}\right)\right)dx$