Evaluate integral using Green Theorem

[daphnelee-mh]

Homework Statement

(question is attached below)

Relevant Equations

∮Pdx+Qdy=∬ [ (∂Q/∂x)-(∂P/∂y)]dA

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

 

[WWGD]

Try changing the order of integration.

 

[WWGD]

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?

 

[daphnelee-mh]

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?

I got this answer after changed the integrating order

 

[WWGD]

View attachment 265800
I got this answer after changed the integrating order

Looks right. Do you have a way of checking? Maybe Wolfram?

 

[daphnelee-mh]

I checked it using Mathway just now, it's correct, thank you.