Integrating multivariable functions

Description

There are many ways to extend the idea of integration to multiple dimensions: Line integrals, double integrals, triple integrals, surface integrals, etc. Each one lets you add infinitely many infinitely small values, where those values might come from points on a curve, points in an area, points on a surface, etc. These are all very powerful tools, relevant to almost all real-world applications of calculus. In particular, they are an invaluable tool in physics.


Part of Multivariable calculus


Have you tried this resource?

Help someone out by sharing your thoughts!

Write a review

Have questions about K-12 education?

Ask our community of thousands of teachers, homeschoolers, and parents! Or see recently-asked questions.

Ask a Question

More Ways to Learn Multivariable Calculus

Free

Applications of multivariable derivatives


9th - College | Online class

The tools of partial derivatives, the gradient, etc. can be used to optimize and approximate multivariable functions. These are very useful in practice, and to a large extent this is why people...

Free

Multivariable calculus


9th - College | Online class

In multivariable calculus, we progress from working with numbers on a line to points in space. It gives us the tools to break free from the constraints of one-dimension, using functions to describe...

$5

Multivariable Calculus Course Assistant


High School - College | Android, iPhone/iPad, Windows

Get help for your Multivariable Calculus class. Solutions for higher-dimensional problems with support for partial derivatives and multiple integrals. Evaluate any numeric expression, or substitute...

$35 monthly

Multivariable Calculus


College | Online class

Professor Raffi Hovasapian helps you develop your Multivariable Calculus intuition with clear explanations of concepts before reinforcing an understanding of the material through step-by-step...


See all resources for Multivariable Calculus

Links to supporting retailers are recognized and built automatically, so we can provide you with truly unbiased listings.
We receive a small share of sales from those links to help us keep this service free for all learners. Thanks for your support!

Frequently Asked Questions

What is Integrating multivariable functions by Khan Academy?

Integrating multivariable functions is a learning resource for Multivariable Calculus. It is available in the following format(s): Online class. It is suited for 9th - College students.

What grade level is Integrating multivariable functions by Khan Academy appropriate for?

It is designed for 9th - College students, but could be useful for students of other ages as well; please look at the description and images to determine suitability.

How much does Integrating multivariable functions by Khan Academy cost?

It is free!