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Math Help - Integral-weird

  1. #1
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    Integral-weird

    1. Evaluate the differential form  ydx + zdy + xdz on the following line segment:  (0,2,-1) to  (3,0,1) .

    So  \begin{cases} x = 3t \\ y = 2-2t \ \ \  \ \ \ 0 \leq t \leq 1 \\ z = 2t-1 \end{cases} so that  dx = 3dt, \ \ dy = -2dt, \ \ dz = 2dt .

    Then  \int_{(0,2,-1)}^{(3,0,1)} ydx + zdy + xdz = \int_{0}^{1} (2-2t)(3dt) + (2t-1)(-2dt) + (3t)(2dt)


    Is this correct?
    Last edited by heathrowjohnny; February 17th 2008 at 04:07 AM.
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  2. #2
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    Yes, that appears to be correct.

    I get 6 as the value. Is that what you get?.
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  3. #3
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    yeah thats what I got.

    Thanks
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