## ERF Function

The `ERF`

function in Google Sheets computes the error function over a specified range. It is useful in statistics and probability.

### Syntax

```
ERF(lower_bound, [upper_bound])
```

`lower_bound`

: The lower limit of the integral. This is a required parameter.`upper_bound`

: (Optional) The upper limit of the integral. If omitted, it defaults to the lower_bound.

### Examples

**Error Function from 0 to 1**

Calculate the error function from 0 to 1:

```
=ERF(0, 1)
```

This will output approximately 0.8427.

**Error Function from 1 to 2**

Calculate the error function from 1 to 2:

```
=ERF(1, 2)
```

This will output approximately 0.1547.

**Error Function at a Single Point**

Calculate the error function from 0 to 1.5:

```
=ERF(1.5)
```

This will output approximately 0.9661.

### Notes

- The ERF function is commonly used in statistics for normal distribution probabilities.
- If the upper_bound is less than the lower_bound, the function returns an error.