Integration question using Fubini's Theorem

[Pyroadept]

Homework Statement

1 1
∫ ∫ e^x^2 dx dy
0 y

Homework Equations

Fubini's Theorem:
b g2(x) d h2(y)
∫∫ f(x,y) dA = ∫ ∫ f(x,y) dy dx = ∫ ∫ f(x,y) dx dy
a g1(x) c h1(y)

The Attempt at a Solution

Hi everyone, it's not the integration that's causing me the problem here, it's the changing of the limits. I think my problem is that I can't visualise what it is I'm integrating. I'm not asking you to do the changing of limits for me, but could anyone please give me a clue as to what the shape looks like? I'm confused as to how the y can be variable (as in, how can you integrate from y to 1? What does it mean?).

Thanks

 

[Dick]

For each fixed value of y between 0 and 1, you are integrating dx from y to 1. Does saying it in words help? So one of the boundaries of the region is the line y=x. The region of integration is a triangle.