integrate x^2+1 — step-by-step solution

Let's integrate:

\int(x^{2} + 1)dx

\int(x^{2})dx + \int(1)dx

ℹ

∫(x^2)dx

\frac{x^{3}}{3}

‖

∫(1)dx

x

\frac{x^{3}}{3} + x

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

\frac{x^{3}}{3} + x + C

▷Result: $\frac{x^{3}}{3} + x + C$ , with C being any constant