Calculus Examples

$7 \sum_{d = 2}^{5} d + 2$

Step 1

Expand the series for each value of $d$ .

$7 (2 + 2 + 3 + 2 + 4 + 2 + 5 + 2)$

Step 2

Simplify.

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Step 2.1

Add $2$ and $2$ .

$7 (4 + 3 + 2 + 4 + 2 + 5 + 2)$

Step 2.2

Add $3$ and $2$ .

$7 (4 + 5 + 4 + 2 + 5 + 2)$

Step 2.3

Add $4$ and $5$ .

$7 (9 + 4 + 2 + 5 + 2)$

Step 2.4

Add $4$ and $2$ .

$7 (9 + 6 + 5 + 2)$

Step 2.5

Add $9$ and $6$ .

$7 (15 + 5 + 2)$

Step 2.6

Add $5$ and $2$ .

$7 (15 + 7)$

Step 2.7

Add $15$ and $7$ .

$7 \cdot 22$

Step 2.8

Multiply $7$ by $22$ .

$154$

$154$

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