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

$$4x-2>2x+2$$

$$\int\frac{2}{\left(x^2+2\right)\left(x-2\right)}dx$$

$$7^8.7$$

$$\lim_{x\to\infty}\left(\frac{x+1}{4x-1}\right)^x$$

$$\left(2a^7+3b^6\right)x\left(4a^2b^4\right)$$

$$\lim_{x\to-\infty\:}\left(\frac{x^2-43}{x-8}\right)$$