$$3x-\frac{3x}{2}>0$$

$$\int_2^5x^2e^{8x}dx$$

$$2sin^2\left(2\pi\right)-sin\left(2\pi\right)$$

$$2x+2=14$$

$$\lim_{x\to45}\:\frac{\tan\left(3x\right)}{\sin\left(2x\right)+\sec^2\left(x\right)}$$

$$x+3=11$$

$$\left(x-4\right)\left(x^2+4x+64\right)$$