Engineering - ERFC Function



Description

The ERFC function returns the complementary ERF function integrated between x and infinity.

The Complementary Error Function is equal to 1 - ERF (i.e. 1 - Error Function), and is given by the equation −

$$Erfc(x)=\frac{2}{\sqrt{\pi}}\int_{x}^{\infty} e^{-t^2}dt$$

Syntax

ERFC(x)

Arguments

Argument Description Required/Optional
x The lower bound for integrating ERFC. Required

Notes

If x is nonnumeric, ERFC returns the #VALUE! error value.

Applicability

  • Excel 2007, Excel 2010, Excel 2013, Excel 2016

  • In Excel 2007, if you input a negative value for the argument - x, the function would return a #NUM! Error value.

  • In Excel 2010, the function algorithm has been improved, so that it can now calculate the function for both positive and negative x values.

Example

ERFC Function
advanced_excel_engineering_functions.htm
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