$$\int\sin2x\:\cos^2\:\:2x\:\:dx$$

$$\left(x-12\right)\left(x-3\right)+\left(x+2\right)^2$$

$$\int\frac{\left(x^5\right)}{\left(x^3+1\right)^2}\:dx$$

$$\lim_{x\:\:\to0}\left(\frac{6+6x+3x^2-5e^x}{x-senx\:}\right)$$

$$\frac{x}{3}+5\le\:1$$

$$\int_0^1\left(1+\sqrt{x}\right)^2dx$$

$$\left(x^2-7\right)\left(x^2-9\right)$$