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

$$x^2\left(x+2\right)^3-\left(x+1\right)^5$$

$$\lim_{x\to2}\frac{1-\sqrt{2x-3}}{\sqrt{3x+3}-3}$$

$$12\int_0^{\frac{\pi}{2}}\left(-\sin^4\left(x\right)\cos^2\left(x\right)\right)dx$$

$$\left(2a^2b+3c^3\right)^2$$

$$\frac{3}{x+1}>2$$

$$\tan^2x-2=\tan x$$