$8-3\left\{a-2\left(a-\left(b-2\right)+3\left(b-3\right)-6\right)\right\}$

$\int_1^42tdt$

$\sin\left(3x^2-1\right)$

$\left(2x\:+y\right)\cdot dx-\left(x+6y\right)\cdot dy=0$

$x^2-24-48$

$\frac{dy}{dx}=-\frac{\left(6xy-y^3\right)}{4y+3x^2-3xy^2}$

$\int\frac{2}{2\sqrt{1+e^{2x}}}dx$