Calculus Examples

$\sum_{n = 13}^{16} n - 4$

Step 1

Expand the series for each value of $n$ .

$13 - 4 + 14 - 4 + 15 - 4 + 16 - 4$

Step 2

Simplify.

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Step 2.1

Subtract $4$ from $13$ .

$9 + 14 - 4 + 15 - 4 + 16 - 4$

Step 2.2

Subtract $4$ from $14$ .

$9 + 10 + 15 - 4 + 16 - 4$

Step 2.3

Add $9$ and $10$ .

$19 + 15 - 4 + 16 - 4$

Step 2.4

Subtract $4$ from $15$ .

$19 + 11 + 16 - 4$

Step 2.5

Add $19$ and $11$ .

$30 + 16 - 4$

Step 2.6

Subtract $4$ from $16$ .

$30 + 12$

Step 2.7

Add $30$ and $12$ .

$42$

$42$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$