Let's integrate: $\int 6x^{5}dx$

ⓘ A constant factor stays in front of the integral. An antiderivative of x^n is x^(n+1)/(n+1), for n ≠ -1: $\int 6x^{5}dx$ = $6·\frac{x^6}{6}$

$6·\frac{x^6}{6}$

ⓘ Multiplying a fraction by a number multiplies its numerator: $6·\frac{x^6}{6}$ = $\frac{6x^6}{6}$■A fraction is simplified by dividing the numerator and the denominator by the same number: $\frac{6x^6}{6}$ = $x^6$

$x^6$

▶Indefinite integrals are defined up to an additive constant C, so this yields: $x^6+C$