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.
How do I find the limits of y?
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