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.
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$\begingroup$ 1) 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: mathematica.stackexchange.com/questions/145/… $\endgroup$– WizardCommented Apr 2, 2014 at 10:03
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$\begingroup$ @Wizard Loop integrals are quite complicated, and often WolframAlpha will not compute it, or say it ran out of allowed computation time. $\endgroup$– user1997744Commented Apr 2, 2014 at 10:34
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