$2x^2-2x-24=0$

$\frac{\left(2x+3\right)\left(x^2\right)-\left(x^2\right)\left(5x\right)}{\left(2x+3\right)^2}$

$\int2x^3\sin\left(4x\right)dx$

$\int x^{\frac{7}{4}}\ln\left(x\right)dx$

$4xy^2dx+\left(2x^2+3\right)dy=0$

$\frac{dy}{dx}=yx\cos\left(x\right)$

$\frac{y^{10}}{y^8}$