Calculus Examples

$\sum_{k = 1}^{n} k^{3}$

Step 1

The formula for the summation of a polynomial with degree $3$ is:

$\sum_{k = 1}^{n} k^{3} = \frac{n^{2} {(n + 1)}^{2}}{4}$

Step 2

Substitute the values into the formula.

$\frac{n^{2} {(n + 1)}^{2}}{4}$