# ERF function: Description, Usage, Syntax, Examples and Explanation

## What is ERF function in Excel?

ERF function is one of Engineering functions in Microsoft Excel that returns the error function integrated between lower_limit and upper_limit.

## Syntax of ERF function

ERF(lower_limit,[upper_limit])

The ERF function syntax has the following arguments:

**Lower_limit:**The lower bound for integrating ERF.**Upper_limit(Optional):**The upper bound for integrating ERF. If omitted, ERF integrates between zero and lower_limit.

## ERF formula explanation

- If lower_limit is nonnumeric, ERF returns the #VALUE! error value.
- If upper_limit is nonnumeric, ERF returns the #VALUE! error value.

## Example of ERF function

Steps to follow:

1. Open a new Excel worksheet.

2. Copy data in the following table below and paste it in cell A1

Note: For formulas to show results, select them, press F2 key on your keyboard and then press Enter.

You can adjust the column widths to see all the data, if need be.

Formula |
Description |
Result |

=ERF(0.745) | Error function integrated between 0 and 0.74500 | 0.70792892 |

=ERF(1) | Error function integrated between 0 and 1. | 0.84270079 |