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Line Integral : Green's Theorem

A) For what simple closed (positively oriented) curve C in the plane does the line integral of
(e^(-x)+ 4x^2y +y)dx + (x^3-x*y^2+5x)dy

have the largest positive value? (use Green's theorem)

b) Determine what this value is.

Solution Summary

The largest value of a line integral is found using Green's theorem. The solution is detailed and well presented.