.. _auto_curve_integral_between:

*COMPUTES THE INTEGRAL BETWEEN TWO X-VALUES*
============================================

Computes the definite integral of a curve between two specified x-values using numerical integration. Use this worker whenever you need the area under a curve over a bounded interval.

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

Classification: **process**.

Tagged: ``area_under_curve``, ``curve_transform``, ``definite_integral``, ``integral``, ``interval``, ``numerical_integration``.

Inputs
------

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

   * - Label
     - ID
     - Type
     - Default
     - Required
     - Description
   * - Curve
     - curve
     - vector
     - —
     - 
     - The input curve (x-y vector pairs) whose definite integral is to be computed; must span at least the [xs, xe] interval.
   * - X-Start
     - xs
     - scalar
     - —
     - 
     - Start x-value of the integration interval (same units as the curve's x-axis); defaults to the curve's minimum x if left blank.
   * - X-End
     - xe
     - scalar
     - —
     - 
     - End x-value of the integration interval (same units as the curve's x-axis); defaults to the curve's maximum x if left blank.

Outputs
-------

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

   * - Label
     - ID
     - Type
     - Description
   * - integral_between
     - integral_between
     - scalar
     - Scalar result of the definite integral of the curve from xs to xe (units are the product of the curve's x- and y-axis units).

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

.. raw:: html

   <hr style="margin-top:2em">
   <p style="font-size:11px;color:#888">
   Auto-generated from <code>transformation</code> schema. Worker id: <code>curve_integral_between</code>. Schema hash: <code>ca561da3d625</code>. Hand-curated docs in <code>workerexamples/</code> override this page when present.
   </p>