$$\int\left(x+1\right)\cdot e^{x+1}dx$$

$$\lim_{x\to0}\left(\sqrt{x^2-x}-x\right)$$

$$\int\frac{2x^3+7x^2+15x+8}{x\left(x+2\right)^2}dx$$

$$\int\left(\frac{x}{x^4+2}\right)dx$$

$$3x+1\cdot2x+1$$

$$\int e^{2x}\cdot\sec\left(e^{2x}\right)dx$$