.. _auto_curve_integral_by_intervals:

*COMPUTES THE INTEGRAL BY A SPECIFIED INTERVAL*
===============================================

Computes the definite integral of a curve over evenly spaced intervals. The curve is split according to the specified interval width (or into a fixed number of equal splits when the interval is negative), and the integral value is returned for each sub-interval.

When to use
-----------

Classification: **process**.

Tagged: ``curve``, ``integral``, ``interval``, ``numerical_integration``, ``signal``, ``transformation``, ``trapezoid``.

Inputs
------

.. list-table::
   :header-rows: 1
   :widths: 20 20 20 20 20 20

   * - Label
     - ID
     - Type
     - Default
     - Required
     - Description
   * - Curve
     - curve
     - vector
     - —
     - 
     - Input curve (x-y vector pair) whose integral is to be computed; must be a valid d3VIEW curve object.
   * - Interval
     - interval
     - scalar
     - —
     - 
     - Width of each integration interval in the curve's x-axis units; if negative, the absolute value specifies the number of equal splits to divide the curve into rather than a fixed step size.

Outputs
-------

.. list-table::
   :header-rows: 1
   :widths: 20 20 20 20

   * - Label
     - ID
     - Type
     - Description
   * - curve_integral_by_interval
     - curve_integral_by_interval
     - keyvalue
     - Key-value collection mapping each sub-interval identifier to its computed integral value (area under the curve for that segment).

Disciplines
-----------

- data.curve.transform
- data.signal_processing

Runnable example
----------------

A runnable example is registered for this worker. Open the example workflow on the d3VIEW canvas: `/api/workflow/example?id=curve_integral_by_intervals <https://www.d3view.com/api/workflow/example?id=curve_integral_by_intervals>`_

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   Auto-generated from <code>transformation</code> schema. Worker id: <code>curve_integral_by_intervals</code>. Schema hash: <code>335e9cb634a3</code>. Hand-curated docs in <code>workerexamples/</code> override this page when present.
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