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Work Problem, Line Integral Fun (Calc 3)

  1. Dec 5, 2006 #1
    1. The problem statement, all variables and given/known data
    Find the work done by the force field F(x,y) = x*sin(y) i-hat + y j-hat on a particle that moves along the parabola y = x^2 from (-1,1) to (2,4).

    2. The attempt at a solution
    Please see attached file.

    The answer I get seems really, really, complicated and I have a hunch that it shouldn't be. Does anything look wrong in my work?

    Thanks!
     

    Attached Files:

  2. jcsd
  3. Dec 6, 2006 #2
    Hey,

    The only thing I noticed is that your limits of integration seem to be off; t goes from -1 to 2, not -1 to 4. The integration is correct.
     
  4. Dec 7, 2006 #3
    Awesome! Thanks :)
     
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