integrate 2x+3 — step-by-step solution

Let's compute the integral:

\int(2 x + 3)dx

\int(2 x)dx + \int(3)dx

ℹ

∫(2*x)dx

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

‖

∫(3)dx

3 x

2 \cdot \frac{x^{2}}{2} + 3 x

ℹ

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

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

‖

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

x^{2}

x^{2} + 3 x

You can write the expression in factored form:

x \cdot (x + 3)

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

x \cdot (x + 3) + C

▷Answer: $x \cdot (x + 3) + C$ , with C being any constant