I'm given this definite integral:

I need to change the order to dydxdz, but I'm stuck trying to get the limits of integration wrt y.

http://i42.tinypic.com/24on636.png

How do I find the limits of y?

Printable View

- Apr 5th 2010, 11:00 AMsqueeze101Change order of a triple integration
I'm given this definite integral:

I need to change the order to dydxdz, but I'm stuck trying to get the limits of integration wrt y.

http://i42.tinypic.com/24on636.png

How do I find the limits of y? - Apr 6th 2010, 08:22 AMhollywood
According to the integral, your region of integration is bounded by:

1. the plane z=0

2. the plane z=1-y

3. the surface y=sqrt(x), and

4. the plane x=0

(that means your diagram is wrong, though)

So I think the limits would be:

y from sqrt(x) to 1-z

z from 0 to 1-sqrt(x)

x from 0 to 1

- Hollywood