---
title: experimental.integral() function
description: >
  `experimental.integral()` computes the area under the curve per unit of time of subsequent non-null records.
menu:
  flux_v0_ref:
    name: experimental.integral
    parent: experimental
    identifier: experimental/integral
weight: 101
flux/v0/tags: [transformations, aggregates]
introduced: 0.106.0
---

<!------------------------------------------------------------------------------

IMPORTANT: This page was generated from comments in the Flux source code. Any
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To make updates to this documentation, update the function comments above the
function definition in the Flux source code:

https://github.com/influxdata/flux/blob/master/stdlib/experimental/experimental.flux#L648-L652

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Fluxdoc syntax: https://github.com/influxdata/flux/blob/master/docs/fluxdoc.md

------------------------------------------------------------------------------->

`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}]
```

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

## 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)

```

{{< expand-wrapper >}}
{{% expand "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    |

{{% /expand %}}
{{< /expand-wrapper >}}

### 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")

```

{{< expand-wrapper >}}
{{% expand "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      |

{{% /expand %}}
{{< /expand-wrapper >}}