Multivariate Function Integration

1. Nov 16, 2011

gordonj005

Quick Question

When taking multiple integrals of a multivariable function, does the order in which you integrate (in terms of the variable) matter?

Also, is there a notation for partially integrating a multivariable function with respect to a single variable?

Thanks for your help

2. Nov 16, 2011

mathman

The order will not matter for "nice" integrands.

I'm not sure what you are looking for in your second question. You can integrate with respect to some variables and leave others alone. This would be indicated by what differentials you use. For example the integral of f(x,y)dx means integrate with respect to x and leave y alone.

Last edited: Nov 16, 2011
3. Nov 16, 2011

gordonj005

What do you mean by "nice" integrands?

Ah right, thats what I thought. Thanks a lot man.

4. Nov 19, 2011

Charles49

Look up Fubini theorem.

5. Nov 19, 2011

Char. Limit

For the second question, this might help you understand:

http://www.cliffsnotes.com/study_guide/Partial-Integration.topicArticleId-19736,articleId-19707.html [Broken]

Last edited by a moderator: May 5, 2017