$\int\left(x^2-3x\right)\cdot e^{6x}dx$

$\left(-ab^2c\right)\left(3a^2bc\right)\left(2abc^2\right)$

$\lim_{x\to0}\left(\frac{48x\cos\left(x\right)-48\sin\left(x\right)}{x\sin^2\left(x\right)}\right)$

$\frac{\partial\:f}{\partial\:\:x}\left(2x-2y+4+6y=0\right)$

$x^4-2x^3-9x^2-18x$

$\frac{1}{1-\sin\left(y\right)}+\frac{1}{1+\sin\left(y\right)}=2\sec\left(y\right)^2$

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