$\frac{d}{dx}-4x^2+2x-3$

$\int\:8x\:e^{9x}\:dx$

$\int\frac{x^4}{\left(9-x^2\right)^{\frac{3}{2}}}dx$

$3a^2x^{a+3}y^{2a-2}$

$\left(6m^3n^2-9m^2n^3\right)\left(x+3\right)$

$\lim_{x\to0}\cos2x$

$\lim_{x\to\frac{\pi}{2}}\left(\frac{4x^2-\pi^2}{\cos\left(x\right)}\right)$