$$\sin2c\cdot\sin c=\cos c$$

$$\lim_{x\to-2}\left(\frac{5x^4-3x^2-68}{2x^5-3x^2-2x+8}\right)$$

$$\int\frac{\sec^2x}{\tan x}+\frac{1}{\tan x}dx$$

$$\left(5x^6\right)\left(8x^3\right)$$

$$\left(z^2\right)\left(5xy^5\right)\left(vx^2z\right)\left(5xy^5\right)$$

$$\lim_{x\to4}\left(3x+1\right)$$

$$\int x^3sin\left(3x^4-7\right)dx$$