Calculus Examples

$10 + \sum_{n = 1}^{5} n^{3} - 1$

Step 1

Evaluate $\sum_{n = 1}^{5} n^{3} - 1$ .

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Step 1.1

Expand the series for each value of $n$ .

$1^{3} - 1 + 2^{3} - 1 + 3^{3} - 1 + \dots + 5^{3} - 1$

Step 1.2

Simplify the expanded form.

$220$

Step 2

Add $10$ and $220$ .

$230$