The power rule states that the integral of $x^n$ is $\frac{1}{n+1}x^{n+1}$, where $n$ is any real number except for -1.
In this case, we have $n=5$, so applying the power rule, we get:
$$\int 2x^5 dx = \frac{2}{5+1}x^{5+1} + C$$
Simplifying, we have:
$$\int
Show more…