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**1. Homework Statement**

Use Green's Theorem to calculate the work done by the force field

F = <5x

^{2}y

^{3}, 7x

^{3}y

^{2}>

in moving a particle counterclockwise once around the triangle with vertices (0, 0), (3, 0) and 0, 6).

**2. The attempt at a solution**

I must integrate 6x

^{2}y

^{2}over the triangle, right? I then get 1944 as the answer, but the correct answer is 972/5. What is wrong?