Let C be the circular path which is the portion of the circle of radius 1 centered at the origin starting at (1, 0)and ending at (0,-1), oriented counterclockwise.
Let $\vec { G } = x ^ { 6 } y ^ { 3 } \vec { i } + \left( x ^ { 3 } y ^ { 6 } + 6 x \right) \vec { j }$ Determine the exact value of $\int _ { C } \vec { G } \cdot d \vec { r }$

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The Answer of Let C be the circular path which is the portion of the circle of radius 1 centered at the origin starting at (1, 0)and ending at (0,-1), oriented counterclockwise.
Let $\vec { G } = x ^ { 6 } y ^ { 3 } \vec { i } + \left( x ^ { 3 } y ^ { 6 } + 6 x \right) \vec { j }$ Determine the exact value of $\int _ { C } \vec { G } \cdot d \vec { r }$

Let C Be the Circular Path Which Is the Portion G⃗=x6y3i⃗+(x3y6+6x)j⃗\vec { G } = x ^ { 6 } y ^ { 3 } \vec { i } + \left( x ^ { 3 } y ^ { 6 } + 6 x \right) \vec { j }G=x6y3i+(x3y6+6x)j​

Let C Be the Circular Path Which Is the Portion $\vec { G } = x ^ { 6 } y ^ { 3 } \vec { i } + \left( x ^ { 3 } y ^ { 6 } + 6 x \right) \vec { j }$