$\frac{dy}{dx}=\frac{x^2-1}{-y}$

$\lim_{x\to-1}\left(\frac{x+1}{\sqrt{6x^2+3+3x}}\right)$

$\int\frac{x}{\sqrt{17+16x-x^2}}dx$

$\lim_{x\to3}\left(\frac{x^2-2x-3}{2-\sqrt{x-1}}\right)$

$\frac{dy}{dx}=\frac{\left(6x^2+4\right)}{3y^2-4}$

$ydy-7dx+8y^2dy-dx=0$

$\int x\left(2x^3-6x+\frac{3}{x^2+1}\right)dx$