Practice: Line Integrals of Vector Fields

Suppose 𝐶 is the path given by r(𝑡)=(𝑡,𝑡) for 0≤𝑡≤1, 𝐶 is the path given by r(𝑡)=(1−𝑡,1−𝑡) for 0≤𝑡≤1, and Fij=𝑥+(𝑦+1)ln. Without calculating the integrals, which of the following is true?

  • A⋅=⋅FrFrdd
  • B⋅>⋅FrFrdd
  • C⋅<⋅FrFrdd

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