Exponent Integration 51D261
1. Yes, exactly! The $2 + 1$ refers to the exponent of $x$ in the expression.
2. When integrating a power of $x$, like $x^n$, the exponent $n$ is increased by 1 to become $n+1$.
3. This is because the integral of $x^n$ is given by the formula:
$$\int x^n \, dx = \frac{x^{n+1}}{n+1} + C$$
4. So in your example, since the exponent is 2, we add 1 to get 3.
5. This means the integral becomes $\frac{x^3}{3} + C$.
6. The $2 + 1$ is simply the exponent of $x$ increased by 1 as part of the integration process.