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How to do integrations with dummy indicials in integrands

  1. Oct 5, 2013 #1
    How to do such integrations involving dummy indicials in integrand, for example

    int_dummy.jpg

    (1) How to do integration with dummy indicials in a general way by hand ? Or is there at least a direction my efforts go along ?
    (2) How to do such things or similar integrations but more more complex integrand in Mathematica(or its tensor package xAct)?
    (3) I there any book adressing such integrations?

    By the way,what I more want to know is how to derive the result of this integration, instead of proving this equation.

    Thanks :)
     
  2. jcsd
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