Evaluate the Line Integral $\int _ { C } \left( 3 x ^ { 2 } y ^ { 4 } - 6 x y \right) d x + \left( 4 x ^ { 3 } y ^ { 3 } - 3 x ^ { 2 } \right) d y$

question 74

Multiple Choice

Evaluate the line integral $\int _ { C } \left( 3 x ^ { 2 } y ^ { 4 } - 6 x y \right) d x + \left( 4 x ^ { 3 } y ^ { 3 } - 3 x ^ { 2 } \right) d y$ , where $C$ is any path from $( 1,2 )$ to $( 2,1 )$ .

• A) \(12\)
• B)\(14\)
• C)\(16\)
• D)\(18\)
• E) \(- 12\)
• F)\(- 14\)
• G)\(- 16\)
• H) \(- 18\)

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