Help with double integral and switching the order of the differentials

  • #1

Homework Statement


1 1/2
∫ ∫ e-x2 dx dy
0 y/2

Homework Equations



***Graph equation***

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.
 

Answers and Replies

  • #2
Dick
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Homework Helper
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Homework Statement


1 1/2
∫ ∫ e-x2 dx dy
0 y/2

Homework Equations



***Graph equation***

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.
The domain of integration is a triangle. Can you describe it?
 
Last edited:
  • #3
HallsofIvy
Science Advisor
Homework Helper
41,833
961
It might be easier to see if you write the integral
[tex]\int_{y=0}^{y=1}\int_{x= y/2}^{x= 1/2} e^{-x^2}dx dy[/tex]

Draw the graphs corresponding to the limits of integration.
 

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