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Math Help - Work of the field vector

  1. #1
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    Work of the field vector

    What the work of the field vector F(x,y) = (x^2,xy) to move a particle along the trajectory r(t) = (2cost,2sint) for 0 \leq t \leq 2 \pi


    My solution:

    \int_0^{2 \pi} (-8cos^2tsent + 8cos^2tsent)dt

    = 0


    Is correct ?
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  2. #2
    MHF Contributor Calculus26's Avatar
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    Yes it is-- but since this a closed curve you could have checked yourself with Green's theorem as well
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  3. #3
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    Quote Originally Posted by Calculus26 View Post
    Yes it is-- but since this a closed curve you could have checked yourself with Green's theorem as well

    Thank you
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