ERF function

This article describes the formula syntax and usage of the ERF function in Microsoft Excel.


Returns the error function integrated between lower_limit and upper_limit.



The ERF function syntax has the following arguments:

  • Lower_limit    Required. The lower bound for integrating ERF.

  • Upper_limit    Optional. The upper bound for integrating ERF. If omitted, ERF integrates between zero and lower_limit.


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

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


Copy the example data in the following table, and paste it in cell A1 of a new Excel worksheet. For formulas to show results, select them, press F2, and then press Enter. If you need to, you can adjust the column widths to see all the data.



R esult


Error function integrated between 0 and 0.74500



Error function integrated between 0 and 1.


Applies To: Excel 2016, Excel 2013, Excel 2010, Excel 2007, Excel 2016 for Mac, Excel for Mac 2011, Excel Online, Excel for iPad, Excel for iPhone, Excel for Android tablets, Excel Starter, Excel for Android phones

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