How do you evaluate the line integral (2y-3x+5+e^y(y-1))dx+(4x-3y-2+xye^y)dy by using Green's Theorem given that the smooth curve has 2 end points at (1,0) and (-1,0) and the area of the region bounded by the smooth curve is 1.

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- Apr 17th 2013, 06:14 PMsean60630Calculus Help-Green's Theorem
How do you evaluate the line integral (2y-3x+5+e^y(y-1))dx+(4x-3y-2+xye^y)dy by using Green's Theorem given that the smooth curve has 2 end points at (1,0) and (-1,0) and the area of the region bounded by the smooth curve is 1.

- Apr 17th 2013, 09:24 PMchiroRe: Calculus Help-Green's Theorem
Hey sean60630.

Have you tried constructing the double integral with limits that correspond to your end points and area? (in other words, what will be the region of integration be?) - Apr 18th 2013, 05:37 PMsean60630Re: Calculus Help-Green's Theorem
What would the limits of integration be and do I just set up one integral? If you know can you possibly show me so I can solve it? Thanks.

- Apr 18th 2013, 07:02 PMchiroRe: Calculus Help-Green's Theorem
Is the line integral path independent and is the vector field conservative? (If it is: you can use additional theorems namely that the line integral will be 0)