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Double Integral: trouble manipulating algebra

  • Thread starter glog
  • Start date
  • #1
17
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Homework Statement



[tex]\int\int e^(^x^2^+^y^2^) dA[/tex] where D is the region bounded by y = sqrt(1-x^2) and y = |x|.

Homework Equations





The Attempt at a Solution



Obviously I can draw this region out and see what it looks like, and I will have to split the integral into two for negative and positive x, however, I set up my ranges:

x <= y <= sqrt (1-x^2) and 0 <= x <= 1/sqrt(2) for the first quadrant, and I still do not know how to integrate the function e^(x^2+y^2) in a 'nice' way. I even tried reversing the variables, but it didn't make a difference since the function is symmetric in x and y.
 

Answers and Replies

  • #2
17
0
Nevermind... this needs to be done with polar co-ordinates.

Thanks
-glog
 

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