$\left(x^2+4\right)cos\left(y\right)dx+xsin\left(y\right)dy=0$

$\frac{2x^8-2x^3+x^2}{x^2}$

$\frac{dy}{dx}\left(y=x\ln\left(y\right)+\sin\left(3x\right)\right)$

$\left(t+1\right)\left(9t+16\right)$

$\int_0^{\pi}\left(\frac{cost}{\sqrt{1+sin^2t}}\right)dx$

$\int\frac{x^2-4x-10}{x^2-x-6}dx$

$\int_0^1\left(\frac{4\left(tan^{-1}x\right)^3}{1+x^2}\right)dx$