$\ln\left(y\right)\frac{dy}{dx}=x\cdot y$

$\frac{d}{dx}\left(\left(sinxy^2\right)\right)=x^22y^2$

$\int\cos x\sen4xdx$

$\left(5+3\sqrt{3}\right)\left(5-3\sqrt{3}\right)$

$\int_0^2\left(2x-x^2\right)-\left(3x^3-x^2-10x\right)dx$

$\left(x^2-25\right)\left(x^2+1\right)$

$\int\:x^4e^{-x}dx$