Evaluating a line integral with Green's theorem

geft · Sep 20, 2011

Question: Evaluate using Green's Theorem and sketch R.

The question (excluding the sketch) and the attempted solution are on the attached image. I may have gotten the solution, but the numbers seem funny. Where did I go wrong?

Handwritten solution to a Green's theorem line integral of F = (x cosh y, x^2 sinh y) over region R bounded by x^2 ≤ y ≤ x, with a hand-drawn sketch of the shaded region between the parabola y = x^2 and the line y = x from 0 to 1.

LCKurtz · Sep 20, 2011

I don't see anything humorous in those numbers

Your work is correct.

geft · Sep 20, 2011

Well, it's just that I seldom get something like sinh 1 or cosh 1. Anyway, thanks!

Evaluating a line integral with Green's theorem

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