integrate x+1 — step-by-step solution

Let's compute the integral:

\int(x + 1)dx

\int(x)dx + \int(1)dx

ℹ

∫(x)dx

\frac{x^{2}}{2}

‖

∫(1)dx

x

\frac{x^{2}}{2} + x

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

\frac{x^{2}}{2} + x + C

▷Answer: $\frac{x^{2}}{2} + x + C$ , where C is a constant