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The Line Integral \int C (x2+xy)dx+(y2xy)dy\left( x ^ { 2 } + x y \right) d x + \left( y ^ { 2 } - x y \right) d y

Question 175

Multiple Choice

The line integral \int C (x2+xy) dx+(y2xy) dy\left( x ^ { 2 } + x y \right) d x + \left( y ^ { 2 } - x y \right) d y , where C is the line y=xy = x from (0,0) to (2,2) , is


A) 323\frac { 32 } { 3 }
B) 283\frac { 28 } { 3 }
C) 163\frac { 16 } { 3 }
D) 143\frac { 14 } { 3 }
E) 133\frac { 13 } { 3 }

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