$$\int\frac{1}{4}xdx$$

$$\lim_{x\to\infty}\left(\frac{x^4-2x^2+x}{\sqrt{x^8+8}}\right)$$

$$4x^2+4x+y^2=0$$

$$36z^4-36zy+9y^2$$

$$\left(5x^2+1\right)^2\:-\:\left(5x^2-1\right)^2$$

$$\frac{d}{dx}\frac{1}{2}x$$

$$\frac{d}{dx}\:cos^3bx$$