integrate the derivative of x^5 — step-by-step solution

Let's differentiate:

{(x^{5})}^{'}

5 x^{4}

Let's integrate:

\int(5 x^{4})dx

5 \cdot \frac{x^{5}}{5}

ℹ

5 \cdot \frac{x^{5}}{5}

\frac{5 x^{5}}{5}

‖

\frac{5 x^{5}}{5}

x^{5}

x^{5}

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

x^{5} + C

▷Answer: $x^{5} + C$ , where C is a constant