Error Function Calculator
erf(x) = (2/√π) ∫0x e-t² dt
Results
How to Use
- Enter the x value for which you want to calculate the error function
- Select the desired precision for the result
- Click "Calculate" to compute erf(x) and erfc(x)
- View the graph of the error function
About the Error Function
The error function (erf) is defined as:
erf(x) = (2/√π) ∫0x e-t² dt
The complementary error function (erfc) is:
erfc(x) = 1 - erf(x)
Properties:
- erf(0) = 0
- erf(∞) = 1
- erf(-x) = -erf(x)
- erfc(x) = 1 - erf(x)
Common Values
| x | erf(x) | erfc(x) |
|---|---|---|
| 0 | 0 | 1 |
| 0.5 | 0.5205 | 0.4795 |
| 1 | 0.8427 | 0.1573 |
| 2 | 0.9953 | 0.0047 |
Applications
- Probability and statistics
- Normal distribution calculations
- Heat conduction problems
- Diffusion processes
- Signal processing
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