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Using Green's Theorem, the Line Integral \int C (x+y)dx+xydy( x + y ) d x + x y d y

Question 165

Multiple Choice

Using Green's Theorem, the line integral \int C (x+y) dx+xydy( x + y ) d x + x y d y where C is the closed curve consisting of the arc of 4y=x34 y = x ^ { 3 } from (0, 0) to (2, 2) , the line segment from (2, 2) to (2, 0) , and the line segment from (2, 0) to (0, 0) , is


A) 107- \frac { 10 } { 7 }
B) 97- \frac { 9 } { 7 }
C) 1- 1
D) 37\frac { 3 } { 7 }
E) 27\frac { 2 } { 7 }

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