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Vector Calculus Concepts

Hi, I cannot figure this problem out. I would like to see how to work it. The answer in the book is 3/e, but I cannot get it. There must be a trick involved (hence the author's hint to think carefully), but I'm not sure what it is. I attached the problem. Thanks


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Hi there!
I must confess that at first this problem got me bamboozled as well. I thought maybe we should use the curl theorem or something like that, to evaluate the curl of teh field on an area that we can calculate teh path ...

Solution Summary

This solution is comprised of a detailed explanation to solve vector calculus.