$\left(+500\right)-\left(-189\right)$

$x\frac{dy}{dx}-xy=x^3\cos\left(x\right)$

$y=\frac{x^4}{3}-\frac{x^2}{7}+5$

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

$64m^2\:-n^2$

$ab^2-3a^2b+5ab^2-12a^2b+12$

$\int\left(x^4e^{\frac{1}{2}x}\right)dx$