.. _auto_curves_integral_by_intervals:

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

Computes the definite integral of one or more curves over a specified interval using numerical integration. If the interval is negative, its absolute value is used to determine the number of equal-width splits applied across the curve's domain. Use this worker to compute area-under-the-curve metrics in fixed or subdivided windows.

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

Classification: **process**.

Tagged: ``area_under_curve``, ``curves``, ``integral``, ``intervals``, ``numerical_integration``, ``transformations``.

Inputs
------

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

   * - Label
     - ID
     - Type
     - Default
     - Required
     - Description
   * - Curves
     - curves
     - vector
     - —
     - 
     - One or more input curves (x-y pairs) whose integral is to be computed; accepts multiple curve objects in a vector — leave empty only if curves will be injected upstream in the workflow.
   * - Interval
     - interval
     - scalar
     - —
     - 
     - Scalar width of each integration interval (in the same x-axis units as the curves); if negative, the absolute value specifies the number of equal splits to divide the curve domain into rather than a fixed step size — leave as default (null) to integrate over the full curve range.

Outputs
-------

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

   * - Label
     - ID
     - Type
     - Description
   * - curves_integral_by_interval
     - curves_integral_by_interval
     - dataset
     - Dataset containing the computed integral value(s) for each curve over each requested interval, with one row per curve-interval combination and columns identifying the curve, interval bounds, and integrated area.

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=curves_integral_by_intervals <https://www.d3view.com/api/workflow/example?id=curves_integral_by_intervals>`_

.. raw:: html

   <hr style="margin-top:2em">
   <p style="font-size:11px;color:#888">
   Auto-generated from <code>transformation</code> schema. Worker id: <code>curves_integral_by_intervals</code>. Schema hash: <code>96a5a34652c1</code>. Hand-curated docs in <code>workerexamples/</code> override this page when present.
   </p>