$\int\left(x^5-3\right)^2dx$

$5x^2+2x-3=0$

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

$\left(\frac{a^2}{a^3}\right)^{\frac{1}{2}}$

$\left(2y\sin\left(x\right)\cos\left(x\right)+y^2\sin\left(x\right)\right)dx+\left(\sin^2\left(x\right)-2y\cos\left(x\right)\right)dy=0\:\:y\left(0\right)=3$

$y'\:+2y\:=\:1$

$\frac{dy}{dx}=3\left(y-20\right)y$