integrate 6x^5 — step-by-step solution

Let's compute the integral:

\int(6 x^{5})dx

6 \cdot \frac{x^{6}}{6}

ℹ

6 \cdot \frac{x^{6}}{6}

\frac{6 x^{6}}{6}

‖

\frac{6 x^{6}}{6}

x^{6}

x^{6}

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

x^{6} + C

▷Answer: $x^{6} + C$ , with C being any constant