$\lim_{x\to1}\frac{2x^4-2x^3-x^2+1}{x^4-x^2-2x+2}$

$\frac{0,001^2\cdot0,1^{-2}}{100^{12}}$

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

$\int\frac{\left(6x^3+5x^2+58x-51\right)}{x^2+9}dx$

$9x^2+24x-48$

$\int\left(x^3+x+1\right)^4\left(3x^2+1\right)dx$

$\frac{dy}{dx}=\frac{3\sin\left(x\right)}{y}$