Question

Use Green's Theorem to evaluate the line integral along the given positively oriented curve. Integral over C of xy^2 dx + 4x^2(y) dy, where C is the triangle with vertices (0,0), (3,3), and (3,6).

Answer 1

A double integral is the counter part of the above ... and x = b. In such a case, integration is first performed with ... Example 1: Evaluate. (. ) x. +. ∫ ∫ 2. 1. 1. 0. 2. 2. 0. 1. 1 +. + dydx x y.

Answer 2

Green's Theorem is one of the most useful results of multivariable calculus. It allows us to turn a closed line integral into an area integral.