integrate x^n — step-by-step solution

The math expression:

x^{n}

contains several variables so the variable: x is chosen for integral computation

Let's integrate:

\int(x^{n})dx

We integrate

x^{n}

by applying:

\int(x^{n})dx = \frac{x^{(n + 1)}}{n + 1}

\frac{x^{(n + 1)}}{n + 1}

Indefinite integrals are defined up to an additive constant C, so this yields:

\frac{x^{(n + 1)}}{n + 1} + C

▷Answer: $\frac{x^{(n + 1)}}{n + 1} + C$ , with C being any constant