- #1

toothpaste666

- 516

- 20

## Homework Statement

rewrite using the order dx dy dz

[itex] \int_0^2 \int_{2x}^4\int_0^{sqrt(y^2-4x^2)}dz dy dx [/itex]

## The Attempt at a Solution

I am having trouble because i don't know what the full 3 dimensional region looks like but the part on the xy plane is a triangle bounded by x = 0 , y = 4 and y = 2x

In this region z goes from 0 to 4 so I think those will be the limits of integration with respect to z , but I am having trouble finding the others. i know x goes from 0 to y/2 but I don't think that will be the correct limits of integration with respect to x here. I would greatly appreciate if someone can help me get started on this one.