$\frac{10x^2+2x}{\left(x-1\right)^2\left(x^2+2\right)}$

$\left(x+58\right)^2$

$\frac{dy}{dx}=\frac{1}{6}\sqrt{y}cos^2\sqrt{y}$

$\left(3x^3+6xy^2\right)dx+\left(6x^2y+4y^3\right)dy=0$

$\left(3xy-9\right)\left(3xy+9\right)$

$\log_{\sqrt{2}}\left(x\right)-\log\:_{\sqrt{2}}\left(7-x\right)+2\log\:_{\sqrt{2}}\left(4x^{\frac{1}{2}}\right)$

$\int xe^edx$