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Line Integral

  1. Nov 29, 2005 #1
    Last edited by a moderator: Apr 21, 2017
  2. jcsd
  3. Nov 29, 2005 #2
    [tex]\int_C\mathbf{F}\cdot d\mathbf{r}[/tex]

    [tex]\mathbf{F}=\left<x^4e^y,\,\ln{z},\,\sqrt{y^2+z^2}\right>[/tex]

    [tex]\mathbf{r}=\left<1+5t,\,2+2t,\,1+4t\right>;\quad 0\leq t \leq 1[/tex]

    Can you figure it out from here?
     
    Last edited by a moderator: Apr 21, 2017
  4. Nov 29, 2005 #3
    Last edited by a moderator: Apr 21, 2017
  5. Nov 30, 2005 #4

    arildno

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    A few hints:
    For the first term, use integration-by-parts, and for the third term, complete the square in the form: [itex]K\sqrt{(t+a)^{2}+b}[/itex], where K,a,b are appropriate constants. Dependent upon the sign of b, we may write [itex]b=\pm{c}^{2}[/itex] where c is some constant.

    See if you manage to make the last few steps on your own..
     
    Last edited by a moderator: Apr 21, 2017
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