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May 16, 2015 at 7:34 comment added Dmitri I would like only to mention, that @Vitaliy Kaurov method fails in the case then the integral is not multiple (i.e. just one integral). More difficult case is then we have to factorize if only it is possible; i.e. inTfaC[Integrate[p[x,y], {x, -1, 1}, {y, -1, 1}]] will return the same expressions, whereas inTfaC[Integrate[p[x]p[y], {x, -1, 1}, {y, -1, 1}]] will be factorised.
May 15, 2015 at 21:32 comment added evanb Ah, you're right. Nevertheless, it's important to emphasize!
May 15, 2015 at 21:22 comment added Vitaliy Kaurov @evanb Your integral does not satisfy the question title: "Factoring a separable integral with a product of independent integrands " - and I assume that OP deals with those only.
May 15, 2015 at 21:17 comment added evanb Be very careful! This will even factor integrals where the variables only "talk to each other" through the integrals' limits! For example, try inTfaC[Integrate[p[x] p[y], {x, -1, y}, {y, -1, 1}]].
May 13, 2015 at 22:52 comment added Dmitri Great! Thank you very much!!!
May 13, 2015 at 22:34 comment added Vitaliy Kaurov @Dmitri updated
May 13, 2015 at 22:34 history edited Vitaliy Kaurov CC BY-SA 3.0
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May 13, 2015 at 22:18 comment added Dmitri Probably, I was not exact. I do not want to teach Mathematica how to factorize the answer. I would like to ask it to do this. The same should be done for a triple integral and so on,
May 13, 2015 at 21:35 history answered Vitaliy Kaurov CC BY-SA 3.0