Calculus Examples

$\sum_{i = 1}^{4} i + 1$

Step 1

Expand the series for each value of $i$ .

$1 + 1 + 2 + 1 + 3 + 1 + 4 + 1$

Step 2

Simplify.

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Step 2.1

Add $1$ and $1$ .

$2 + 2 + 1 + 3 + 1 + 4 + 1$

Step 2.2

Add $2$ and $1$ .

$2 + 3 + 3 + 1 + 4 + 1$

Step 2.3

Add $2$ and $3$ .

$5 + 3 + 1 + 4 + 1$

Step 2.4

Add $3$ and $1$ .

$5 + 4 + 4 + 1$

Step 2.5

Add $5$ and $4$ .

$9 + 4 + 1$

Step 2.6

Add $4$ and $1$ .

$9 + 5$

Step 2.7

Add $9$ and $5$ .

$14$

$14$

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