INTGRT
------


.. figure:: ../media/image1019.png
   :figwidth: 4.625in
   :align: center 

**Purpose**

Integrates an input signal with respect to time.

**Procedure** 

The INTGR module integrates an input signal with respect to time, as follows:

.. math:: y = \int_{}^{}{x\left( t \right)}dt + c

**Parameters** 

======================= ===== ==== ===== ======= =======
Parameter               input unit range default remarks
======================= ===== ==== ===== ======= =======
Initial value :math:`c` real                     
======================= ===== ==== ===== ======= =======

**Remarks** 

None

**Examples** 

Figure 1 presents a simple case where the INTGRT component is used to compute the amount of water delivered by two pumping stations over a period of one hour.

.. figure:: ../media/image1020.png
   :figwidth: 5.3125in
   :align: center 

Figure 1: Scheme with a bulk water meter

+----------------------------------------------+--------------------------------+
| |image261|                                   | |image262|                     |
+----------------------------------------------+--------------------------------+
| Figure 2: discharge of both pumping stations | Figure 3: Computed flow volume |
+----------------------------------------------+--------------------------------+

.. include:: substitutions_control.rst