$\frac{4y^3-\left(-y^3\right)}{-xy^3}$

$\int\cos^2y\sin ydy$

$\int\frac{x^2+x\:+4}{\left(x+3\right)\left(x^2+1\right)}dx$

$\frac{\log_a\left(125\right)}{3}+2\log_a\left(\frac{1}{5}\right)$

$3^{\frac{2}{2}}$

$\frac{dy}{dx}\left(4\sin\left(xy\right)=3x+7y\right)$

$2x^2y-3xy^2$