In: Advanced Math
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