Calculus Examples

$\sum_{n = 1}^{4} \frac{n}{n}$

Step 1

Simplify the summation.

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Step 1.1

Cancel the common factor of $n$ .

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Step 1.1.1

Cancel the common factor.

$\frac{n}{n}$

Step 1.1.2

Rewrite the expression.

$1$

$1$

Step 1.2

Rewrite the summation.

$\sum_{n = 1}^{4} 1$

$\sum_{n = 1}^{4} 1$

Step 2

Expand the series for each value of $n$ .

$1 + 1 + 1 + 1$

Step 3

Simplify.

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Step 3.1

Add $1$ and $1$ .

$2 + 1 + 1$

Step 3.2

Add $2$ and $1$ .

$3 + 1$

Step 3.3

Add $3$ and $1$ .

$4$

$4$

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