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**Rearranging a triple integral -- vector calc**

## Homework Statement

Change the order of integration in the following integral to dy dz dx.

[itex]\int^{1}_{0}[/itex][itex]\int^{2x}_{0}[/itex][itex]\int ^{x+y}_{0}F(x,y,z) dz dy dx [/itex]

## Homework Equations

[/B]

N/A

**3. Attempt at solution**

Well, the overall thing that I did was look at it as a graph where I got an integral with endpoints 0 to 2x, 0 to x and 0 to 1 in dy dz dx respectively (o to 2x for y), which gave half the volume if integrating both over F(x,y,z,)=1. I then looked at it on the graph again and realized that this way gives you a prism.

It's confusing because you have two functions in terms of dy and dz that 2x "hoovers" over.

This is from my vector calc class.