Evaluate integral using Green Theorem

  • #1

Homework Statement:

(question is attached below)

Relevant Equations:

∮Pdx+Qdy=∬ [ (∂Q/∂x)-(∂P/∂y)]dA
1593773577298.png

I got stuck here, how to integrate e^(y^2), I searched but it's something like error function
 

Answers and Replies

  • #2
WWGD
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Try changing the order of integration.
 
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  • #3
WWGD
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But you usually parametrize the curve along which you integrate. Edit: Change the limits of integration accordingly when you change the order of integration. These limits should be a function of y alone and not of x. Does that work?
 
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  • #4
But you usually parametrize the curve along which you integrate. Edit: Change the limits of integration accordingly when you change the order of integration. These limits should be a function of y alone and not of x. Does that work?
1593817335698.png

I got this answer after changed the integrating order
 
  • #5
WWGD
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  • #6
I checked it using Mathway just now, it's correct, thank you.
 
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