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In: Advanced Math

Because I'm trying to learn how to solve this kind of problem in the future please...

Because I'm trying to learn how to solve this kind of problem in the future please show all intermediate steps so I can follow Suppose F= <xy+y, x-y^2> Let R be the triangular regiorn bounded by the curves y=x, y=4-x, and y=0, Let C be the boundary of this region, oriented counterclock wise.

a) Can you use Fundamental theorem for Line integrals to find ∮ F•dr? explain why or why not? What are the other two possible methods of finding this line integral ?

b) Find the easiest method to calculate ∮ F•dr and then evaluate the line integral using this method

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