$$\int\sin^7\:2x\:dx$$

$$\frac{d}{dx}x^{\sqrt[5]{x}}$$

$$\int_1^{\infty}\left(\frac{2}{x^2}\right)dx$$

$$\int_0^{\frac{\pi}{2}}\left(e^{2x}\right)\sin\left(3x\right)dx$$

$$\left(5m\:+\:8k\right)\left(5m\:-\:8k\right)$$

$$2^{x+1}=4$$

$$\left(x^5+4\right)\left(x^5+7\right)$$