$2xy+y^3\:+\left(x^2\:+3xy^2\right)\frac{dy}{dx}=0$

$\sqrt{396x^8y^{19}}$

$4k^2+64k=-180$

$\left(-x\sqrt{x^2y}\right)\left(y\sqrt{xy^2}\right)$

$\int\:\frac{\ln\:^2\left(r+1\right)}{r+1}dr$

$\lim_{x\to\left(-\frac{\pi}{2}\right)}\left(\frac{2x\sec\left(x\right)+\pi\sec\left(x\right)}{2}\right)$

$\int\cos^7\left(x\right)dx$