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Evaluate the Line Integral ∫C(3x2y4−6xy)dx+(4x3y3−3x2)dy\int _ { C } \left( 3 x ^ { 2 } y ^ { 4 } - 6 x y \right) d x + \left( 4 x ^ { 3 } y ^ { 3 } - 3 x ^ { 2 } \right) d y

Question 74

Multiple Choice

Evaluate the line integral ∫C(3x2y4−6xy) dx+(4x3y3−3x2) dy\int _ { C } \left( 3 x ^ { 2 } y ^ { 4 } - 6 x y \right) d x + \left( 4 x ^ { 3 } y ^ { 3 } - 3 x ^ { 2 } \right) d y , where CC is any path from (1,2) ( 1,2 ) to (2,1) ( 2,1 ) .


A) 1212
B) 1414
C) 1616
D) 1818
E) −12- 12
F) −14- 14
G) −16- 16
H) −18- 18

Correct Answer:

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