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Given a vector function F = x y a x + ( 3 x - y 2 ) a y , evaluate the integral F

Given a vector function

F = x y a_{x} + (3 x - y^{2}) a_{y},

evaluate the integral

_{}^{} F * d l

from

P_{1} (5, 6)

P_{2} (3, 3)

as shown in the figure below:

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