$\left(x^3-3x^2+6x-2\right)+\left(6x^2+x+1\right)$

$\int\left(\frac{x-2}{\sqrt{5-x^2+4x}}\right)dx$

$\int\left(\frac{4u+5}{4u^2+8u+4}\right)du$

$\frac{dy}{dx}y+xy^2=x$

$\lim_{x\to\frac{x}{2}}\left(\frac{\sin\left(x+1\right)}{2}\right)$

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

$\int\frac{\left(e^x\left(-x\right)+e^x\right)}{x^2}dx$