$x^3\frac{dy}{dx}-3x^2y=2x^3y^2$

$\int\:4^{7x}\:dx$

$\int_{-3}^4\left(\sqrt{25-x^2}\right)dx$

$\left(2w-6\right)\left(-w^3-3w^2+w-2\right)$

$\int\frac{2}{\left(x+1\right)\left(x^2+1\right)^2\left(x+3\right)}dx$

$\left(3x+\frac{1}{2}\right)\left(2-3x\right)$

$\int\frac{1}{2x^2-12x+26}dx$