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

Short Answer

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).