$$\int\frac{\sqrt{x^2-9}}{x^9}dx$$

$$9w^2+24wa+1a^2$$

$$\int x\left(3x^3-x^-2-6\sqrt{x}\:+4\:\right)dx$$

$$\int\frac{x+3}{x^2+5x-6}dx$$

$$y-\frac{dy}{dt}+3=0$$

$$\left(\tan\left(x\right)+\sqrt{3}\right)\left(2\sin\left(x\right)-\sqrt{2}\right)=0$$

$$x^2\:-14x-15=0$$