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

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

$$\int\frac{1}{\sqrt{x^2-6x-7}}dx$$

$$2x^{2}-128$$

$$4x^2+1-4$$

$$9mn+7mn-4mn$$

$$\ln\left(\sqrt{\left(x^2+12\right)}\right)$$