Evaluate the line integral on the Arc of a Parabola - 16.Review.5 Cengage Calculus

Problem 16.Review: 5, Cengage Calculus 9th Edition
Cengage Calculus, 9th Edition Chapter 16: Vector Calculus Review, problem 5, 16Review.5, 5. 2, 3, 4, 5, 6, 7, 8, and 9 Evaluate the line integral. is the circle oriented clockwise 13, 14, 15, 16, 17, and 18 Use Green’s Theorem to evaluate . 15. is the triangle from to to to . (Check the orientation of the curve before applying the theorem.) Use Green’s Theorem to find the work done by the force in moving a particle from the origin along the -axis to , then along the line segment to , and then back to the origin along the -axis.

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how would you do it if the function F is given as a vector with i hat and j hat