Let $\vec { F } ( x , y ) = \left( 9 x ^ { 2 } - 3 y ^ { 2 } \right) \vec { i } - 6 x y \vec { j }$ Evaluate the line integral $\int _ { C } \vec { F } \cdot d \vec { r }$ where C the path from (0, 0)to (1, 1)that goes along the x-axis to (1, 0), and then vertically up to (1, 1).

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The Answer of Let $\vec { F } ( x , y ) = \left( 9 x ^ { 2 } - 3 y ^ { 2 } \right) \vec { i } - 6 x y \vec { j }$ Evaluate the line integral $\int _ { C } \vec { F } \cdot d \vec { r }$ where C the path from (0, 0)to (1, 1)that goes along the x-axis to (1, 0), and then vertically up to (1, 1).

Let F⃗(x,y)=(9x2−3y2)i⃗−6xyj⃗\vec { F } ( x , y ) = \left( 9 x ^ { 2 } - 3 y ^ { 2 } \right) \vec { i } - 6 x y \vec { j }F(x,y)=(9x2−3y2)i−6xyj​

Let $\vec { F } ( x , y ) = \left( 9 x ^ { 2 } - 3 y ^ { 2 } \right) \vec { i } - 6 x y \vec { j }$