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In terms of integration, I usually utilize Mathematica 9 to compute scattering amplitudes in quantum field theory. Recently, I employed it to compute a particularly difficult integral, and it outputted a lengthy combination of hypergeometric Appell functions. Is there any way I can determine how Mathematica actually 'evaluated' the integral, or more appropriately, 'manipulated' the integral into the form required to equate it to a bunch of Appell functions. What I'm looking for is essentially what Wolfram Alpha does when you click 'step by step solution,' but for Mathematica.

user1997744
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  • You can use WolframAlpha directly from within Mathematica. Wolfram Alpha uses Mathematica for computations. 2) To find out which Method a certain mathematica routine used, take a look at this thread: http://mathematica.stackexchange.com/questions/145/how-to-find-out-which-method-mathematica-selected
  • – Wizard Apr 02 '14 at 10:03
  • @Wizard Loop integrals are quite complicated, and often WolframAlpha will not compute it, or say it ran out of allowed computation time. – user1997744 Apr 02 '14 at 10:34