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Substitution rule for vectorial functions

  1. Mar 15, 2007 #1
    You remember the substitution rule (or Change of variables theorem), when the integrand is some real function of real variable.

    I would like to know if that rule has a version when the integrand is some vectorial function (of real variable).

    Thanks for your attention.
  2. jcsd
  3. Mar 15, 2007 #2


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    Do you mean something like
    [tex]\int (2(x-1)^2\vec{i}+ cos(x)sin(x)\vec{j}+ (2x+3)^2\vec{k})dx[/tex]
    You could look at each component separately: In the first component, let u= x-1, in the second, v= sin(x), in the third, w= 2x+3.
  4. Mar 16, 2007 #3
    Thanks, HallsofIvy. It worked.
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