$\frac{dy}{dx}\left(x^4-x^2y+y^4=15\right)$

$x^2dy+xydx=0\:$

$\sin x\left(cotx+csc^2x\right)=\frac{sinxcosx+1}{sinx}$

$\frac{\left(2y^2+1\right)dy}{dx}=3x^2y$

$\int\left(2x\left(x^2+8\right)^9\right)dx$

$2x^2-2\left(x+5\right)-\left(x+3\right)^2+19$

$25\:-\:12:\:\left(-\:3\right)\:-\:2:\:\left(-\:1\right)\:+\:3.\:\left(-\:2\right)$