$\int\frac{x}{\sqrt{x^2+6x+12}}dx$

$11x^4-9x^2+3x+11-2x^4-6x^3-2x+9$

$\lim_{x\to\infty}\:\frac{x+2\sqrt{x+1}}{x+\sqrt{x}}$

$4x^2-12x+9=16$

$\left(2x^3+2y\right)\left(2x^3+2y\right)$

$\lim_{x\to\infty}\left(\frac{x^2+11x+30}{-35-2x+x^2}\right)$

$\frac{d}{dx}\left(y=ln\left(\frac{e^x\sqrt{x}}{\left(x+1\right)^6}\right)\right)$