# Homework Help: Help with double integral and switching the order of the differentials

1. Nov 19, 2011

### xnitexlitex

1. The problem statement, all variables and given/known data
1 1/2
∫ ∫ e-x2 dx dy
0 y/2

2. Relevant equations

***Graph equation***

3. The attempt at a solution
I graphed the function and they made a horizontal strip. However, I can't seem to find the right function with a vertical strip, which is where I'm stuck.

2. Nov 19, 2011

### Dick

The domain of integration is a triangle. Can you describe it?

Last edited: Nov 20, 2011
3. Nov 20, 2011

### HallsofIvy

It might be easier to see if you write the integral
$$\int_{y=0}^{y=1}\int_{x= y/2}^{x= 1/2} e^{-x^2}dx dy$$

Draw the graphs corresponding to the limits of integration.