$\int\left(\frac{10}{5x^2+1}\right)dx$

$\lim_{x\to\infty}\left(\frac{9x+7}{x^2-4}\right)$

$\lim_{x\to\infty}\left(\sqrt{x}e^{-2x}\right)$

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

$\lim_{x\to0}\left(\frac{1}{sin2x}-\frac{1}{2x}\right)$

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

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