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General question about integration

  1. Jul 8, 2013 #1
    when we do partial derivatives we use the curly ∂ to represent a partial change in something w/ respect to a partial change in something else. but say we have an integral with the integrand as a function of (x,y). why do we not use the curly ∂ as the differential when we integrate?

    example..

    why is it proper to write
    ∫2xydx

    as opposed to this?

    ∫2xy∂x
     
  2. jcsd
  3. Jul 8, 2013 #2
    When integrating with respect to two or more variables which may vary independently, it is common to use a path integral, where each variable in the path is parametrized through a single common integration parameter. I have never seen a case where the notation you have indicated was necessary. However, it was a very interesting question and made me have to think for a while. Bravo!
     
  4. Jul 8, 2013 #3

    lurflurf

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    ∂ is used sometimes
     
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