Substitution rule for vectorial functions

  • Thread starter Castilla
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  • #1
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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.
 

Answers and Replies

  • #2
HallsofIvy
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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.
 
  • #3
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Thanks, HallsofIvy. It worked.
 

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