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Line integral convert to polar coordinates

  1. May 21, 2016 #1
    1. The problem statement, all variables and given/known data
    I need to find the work done by the force field:
    moving a particle from a to b along a path given by:
    3. The attempt at a solution
    So I set up my line integral:
    $$\int_0^{1}\left(-\frac{5+5\sqrt{2}}{4}\sin(t)\cos(t)+\sqrt{2}\sin^2(t)+\cos^2(t)+\frac{16\arctan(t)}{t^2+1}\right)\; \text{d}t=5.86436$$

    I have left a lot of steps out, it gets messy! Could this problem be solved by reducing the integral to polar coordinates?
  2. jcsd
  3. May 21, 2016 #2


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    What makes you think you didn't use polar coordinates to get your result?
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