---
title: experimental.integral() function
description: experimental.integral() computes the area under the curve per unit of time of subsequent non-null records.
url: https://docs.influxdata.com/flux/v0/stdlib/experimental/integral/
estimated_tokens: 2122
product: Flux
version: v0
publisher: InfluxData
canonical: https://docs.influxdata.com/flux/v0/stdlib/experimental/integral/
date: '2024-04-08T16:01:02-06:00'
lastmod: '2024-04-08T16:01:02-06:00'
---

* Flux 0.106.0+

InfluxDB support

> [!Important]
> `experimental.integral()` is [subject to change at any time](/flux/v0/stdlib/experimental/#experimental-packages-are-subject-to-change).

`experimental.integral()` computes the area under the curve per unit of time of subsequent non-null records.

The curve is defined using `_time` as the domain and record values as the range.

Input tables must have `_start`, \_stop`, `\_time`, and `\_value`columns.`\_start`and`\_stop` must be part of the group key.

##### Function type signature

```js
(<-tables: stream[{A with _value: B, _time: time}], ?interpolate: string, ?unit: duration) => stream[{A with _value: B}]
```

For more information, see [Function type signatures](/flux/v0/function-type-signatures/).

## Parameters

### unit

Time duration used to compute the integral.

### interpolate

Type of interpolation to use. Default is `""` (no interpolation).

Use one of the following interpolation options:

* empty string (`""`) for no interpolation
* linear

### tables

Input data. Default is piped-forward data (`<-`).

## Examples

* [Calculate the integral](#calculate-the-integral)
* [Calculate the integral with linear interpolation](#calculate-the-integral-with-linear-interpolation)

### Calculate the integral

```js
import "experimental"
import "sampledata"

data =
    sampledata.int()
        |> range(start: sampledata.start, stop: sampledata.stop)

data
    |> experimental.integral(unit: 20s)
```

[](#view-example-input-and-output)

View example input and output

#### Input data

|     \*\_start      |      \*\_stop      |       \_time       |\_value|\*tag|
|--------------------|--------------------|--------------------|-------|-----|
|2021-01-01T00:00:00Z|2021-01-01T00:01:00Z|2021-01-01T00:00:00Z|  \-2  | t1  |
|2021-01-01T00:00:00Z|2021-01-01T00:01:00Z|2021-01-01T00:00:10Z|  10   | t1  |
|2021-01-01T00:00:00Z|2021-01-01T00:01:00Z|2021-01-01T00:00:20Z|   7   | t1  |
|2021-01-01T00:00:00Z|2021-01-01T00:01:00Z|2021-01-01T00:00:30Z|  17   | t1  |
|2021-01-01T00:00:00Z|2021-01-01T00:01:00Z|2021-01-01T00:00:40Z|  15   | t1  |
|2021-01-01T00:00:00Z|2021-01-01T00:01:00Z|2021-01-01T00:00:50Z|   4   | t1  |

|     \*\_start      |      \*\_stop      |       \_time       |\_value|\*tag|
|--------------------|--------------------|--------------------|-------|-----|
|2021-01-01T00:00:00Z|2021-01-01T00:01:00Z|2021-01-01T00:00:00Z|  19   | t2  |
|2021-01-01T00:00:00Z|2021-01-01T00:01:00Z|2021-01-01T00:00:10Z|   4   | t2  |
|2021-01-01T00:00:00Z|2021-01-01T00:01:00Z|2021-01-01T00:00:20Z|  \-3  | t2  |
|2021-01-01T00:00:00Z|2021-01-01T00:01:00Z|2021-01-01T00:00:30Z|  19   | t2  |
|2021-01-01T00:00:00Z|2021-01-01T00:01:00Z|2021-01-01T00:00:40Z|  13   | t2  |
|2021-01-01T00:00:00Z|2021-01-01T00:01:00Z|2021-01-01T00:00:50Z|   1   | t2  |

#### Output data

|     \*\_start      |      \*\_stop      |\*tag|\_value|
|--------------------|--------------------|-----|-------|
|2021-01-01T00:00:00Z|2021-01-01T00:01:00Z| t1  |  25   |

|     \*\_start      |      \*\_stop      |\*tag|\_value|
|--------------------|--------------------|-----|-------|
|2021-01-01T00:00:00Z|2021-01-01T00:01:00Z| t2  | 21.5  |

### Calculate the integral with linear interpolation

```js
import "experimental"
import "sampledata"

data =
    sampledata.int()
        |> range(start: sampledata.start, stop: sampledata.stop)

data
    |> experimental.integral(unit: 20s, interpolate: "linear")
```

[](#view-example-input-and-output)

View example input and output

#### Input data

|     \*\_start      |      \*\_stop      |       \_time       |\_value|\*tag|
|--------------------|--------------------|--------------------|-------|-----|
|2021-01-01T00:00:00Z|2021-01-01T00:01:00Z|2021-01-01T00:00:00Z|  \-2  | t1  |
|2021-01-01T00:00:00Z|2021-01-01T00:01:00Z|2021-01-01T00:00:10Z|  10   | t1  |
|2021-01-01T00:00:00Z|2021-01-01T00:01:00Z|2021-01-01T00:00:20Z|   7   | t1  |
|2021-01-01T00:00:00Z|2021-01-01T00:01:00Z|2021-01-01T00:00:30Z|  17   | t1  |
|2021-01-01T00:00:00Z|2021-01-01T00:01:00Z|2021-01-01T00:00:40Z|  15   | t1  |
|2021-01-01T00:00:00Z|2021-01-01T00:01:00Z|2021-01-01T00:00:50Z|   4   | t1  |

|     \*\_start      |      \*\_stop      |       \_time       |\_value|\*tag|
|--------------------|--------------------|--------------------|-------|-----|
|2021-01-01T00:00:00Z|2021-01-01T00:01:00Z|2021-01-01T00:00:00Z|  19   | t2  |
|2021-01-01T00:00:00Z|2021-01-01T00:01:00Z|2021-01-01T00:00:10Z|   4   | t2  |
|2021-01-01T00:00:00Z|2021-01-01T00:01:00Z|2021-01-01T00:00:20Z|  \-3  | t2  |
|2021-01-01T00:00:00Z|2021-01-01T00:01:00Z|2021-01-01T00:00:30Z|  19   | t2  |
|2021-01-01T00:00:00Z|2021-01-01T00:01:00Z|2021-01-01T00:00:40Z|  13   | t2  |
|2021-01-01T00:00:00Z|2021-01-01T00:01:00Z|2021-01-01T00:00:50Z|   1   | t2  |

#### Output data

|     \*\_start      |      \*\_stop      |\*tag|\_value|
|--------------------|--------------------|-----|-------|
|2021-01-01T00:00:00Z|2021-01-01T00:01:00Z| t1  | 24.25 |

|     \*\_start      |      \*\_stop      |\*tag|\_value|
|--------------------|--------------------|-----|-------|
|2021-01-01T00:00:00Z|2021-01-01T00:01:00Z| t2  |  19   |

#### Related

* [InfluxQL – INTEGRAL()](/influxdb/v1/query_language/functions/#integral)
* [integral() function](/flux/v0/stdlib/universe/integral/)

[transformations](/flux/v0/tags/transformations/)[aggregates](/flux/v0/tags/aggregates/)
| *_start | *_stop | _time | _value | *tag |
| --- | --- | --- | --- | --- |
| *_start | *_stop | _time | _value | *tag |
| 2021-01-01T00:00:00Z | 2021-01-01T00:01:00Z | 2021-01-01T00:00:00Z | -2 | t1 |
| 2021-01-01T00:00:00Z | 2021-01-01T00:01:00Z | 2021-01-01T00:00:10Z | 10 | t1 |
| 2021-01-01T00:00:00Z | 2021-01-01T00:01:00Z | 2021-01-01T00:00:20Z | 7 | t1 |
| 2021-01-01T00:00:00Z | 2021-01-01T00:01:00Z | 2021-01-01T00:00:30Z | 17 | t1 |
| 2021-01-01T00:00:00Z | 2021-01-01T00:01:00Z | 2021-01-01T00:00:40Z | 15 | t1 |
| 2021-01-01T00:00:00Z | 2021-01-01T00:01:00Z | 2021-01-01T00:00:50Z | 4 | t1 |

| *_start | *_stop | _time | _value | *tag |
| --- | --- | --- | --- | --- |
| *_start | *_stop | _time | _value | *tag |
| 2021-01-01T00:00:00Z | 2021-01-01T00:01:00Z | 2021-01-01T00:00:00Z | 19 | t2 |
| 2021-01-01T00:00:00Z | 2021-01-01T00:01:00Z | 2021-01-01T00:00:10Z | 4 | t2 |
| 2021-01-01T00:00:00Z | 2021-01-01T00:01:00Z | 2021-01-01T00:00:20Z | -3 | t2 |
| 2021-01-01T00:00:00Z | 2021-01-01T00:01:00Z | 2021-01-01T00:00:30Z | 19 | t2 |
| 2021-01-01T00:00:00Z | 2021-01-01T00:01:00Z | 2021-01-01T00:00:40Z | 13 | t2 |
| 2021-01-01T00:00:00Z | 2021-01-01T00:01:00Z | 2021-01-01T00:00:50Z | 1 | t2 |

| *_start | *_stop | *tag | _value |
| --- | --- | --- | --- |
| *_start | *_stop | *tag | _value |
| 2021-01-01T00:00:00Z | 2021-01-01T00:01:00Z | t1 | 25 |

| *_start | *_stop | *tag | _value |
| --- | --- | --- | --- |
| *_start | *_stop | *tag | _value |
| 2021-01-01T00:00:00Z | 2021-01-01T00:01:00Z | t2 | 21.5 |

| *_start | *_stop | _time | _value | *tag |
| --- | --- | --- | --- | --- |
| *_start | *_stop | _time | _value | *tag |
| 2021-01-01T00:00:00Z | 2021-01-01T00:01:00Z | 2021-01-01T00:00:00Z | -2 | t1 |
| 2021-01-01T00:00:00Z | 2021-01-01T00:01:00Z | 2021-01-01T00:00:10Z | 10 | t1 |
| 2021-01-01T00:00:00Z | 2021-01-01T00:01:00Z | 2021-01-01T00:00:20Z | 7 | t1 |
| 2021-01-01T00:00:00Z | 2021-01-01T00:01:00Z | 2021-01-01T00:00:30Z | 17 | t1 |
| 2021-01-01T00:00:00Z | 2021-01-01T00:01:00Z | 2021-01-01T00:00:40Z | 15 | t1 |
| 2021-01-01T00:00:00Z | 2021-01-01T00:01:00Z | 2021-01-01T00:00:50Z | 4 | t1 |

| *_start | *_stop | _time | _value | *tag |
| --- | --- | --- | --- | --- |
| *_start | *_stop | _time | _value | *tag |
| 2021-01-01T00:00:00Z | 2021-01-01T00:01:00Z | 2021-01-01T00:00:00Z | 19 | t2 |
| 2021-01-01T00:00:00Z | 2021-01-01T00:01:00Z | 2021-01-01T00:00:10Z | 4 | t2 |
| 2021-01-01T00:00:00Z | 2021-01-01T00:01:00Z | 2021-01-01T00:00:20Z | -3 | t2 |
| 2021-01-01T00:00:00Z | 2021-01-01T00:01:00Z | 2021-01-01T00:00:30Z | 19 | t2 |
| 2021-01-01T00:00:00Z | 2021-01-01T00:01:00Z | 2021-01-01T00:00:40Z | 13 | t2 |
| 2021-01-01T00:00:00Z | 2021-01-01T00:01:00Z | 2021-01-01T00:00:50Z | 1 | t2 |

| *_start | *_stop | *tag | _value |
| --- | --- | --- | --- |
| *_start | *_stop | *tag | _value |
| 2021-01-01T00:00:00Z | 2021-01-01T00:01:00Z | t1 | 24.25 |

| *_start | *_stop | *tag | _value |
| --- | --- | --- | --- |
| *_start | *_stop | *tag | _value |
| 2021-01-01T00:00:00Z | 2021-01-01T00:01:00Z | t2 | 19 |