# Integrating a function over multiple dimensions using SciPy's nquad function

by sneha@openweaver.com Updated: Mar 29, 2023

Solution Kit

Integrating a function over multiple dimensions means taking the integral of the function concerning each of the variables in the function. This means that the integral is being taken concerning all of the dimensions of the function, not just one variable. This can be used to find a multidimensional object's volume or calculate the average of a function over a certain region in multiple dimensions.

Scipy is an open-source library of scientific computing tools for Python. It is built on the NumPy library and provides tools for numerical integration, optimization, linear algebra, signal processing, and more. It is widely used in scientific and engineering applications.

Scipy's nquad function is a numerical integration function that performs double and triple integration.

• It can integrate a function of multiple variables over multiple intervals.
• It is an improved version of the scipy.integrate.quad function, which is used to integrate a single variable over a single interval.

Here is an example of Integrating a function over multiple dimensions using SciPy's nquad function

Fig1: Preview of the Output when the code is run in IDE.

### Code

In this solution, we will use SciPy's nquad function to Integrate a function over multiple dimensions.

### Instructions

1. Install Jupyter Notebook on your computer.
2. Open terminal and install the required libraries with following commands.
3. Install Scipy- pip install scipy
4. Copy the snippet using the 'copy' button and paste it into that file.
5. Run the file using run button.

I hope you found this useful. I have added the link to dependent libraries, version information in the following sections.

I found this code snippet by searching for "Integration over Multiple Dimensions of function using scipy" in kandi. You can try any such use case!

### Dependent Libraries﻿

scipyby scipy

Python 11340 Version:v1.11.0rc1

SciPy library main repository

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scipyby scipy

Python 11340 Version:v1.11.0rc1 License: Permissive (BSD-3-Clause)

SciPy library main repository
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If you do not have SciPy that is required to run this code, you can install it by clicking on the above link and copying the pip Install command from the numpy page in kandi.

You can search for any dependent library on kandi like SciPy.

### Environment Tested

I tested this solution in the following versions. Be mindful of changes when working with other versions.

1. The solution is created in Python3.9.6
2. The solution is tested on SciPy-Python 1.9.1 version.

Using this solution, we are able to Integrate a function over multiple dimensions using SciPy's nquad function.

This process also facilities an easy to use, hassle free method to create a hands-on working version of code which would help us to Integrate a function over multiple dimensions using SciPy's nquad function

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