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Integration in Mathematica 9

Posted 12 years ago

I am trying the following two integrals (college computer, with Mathematica 9)

Integrate[(p^2)/(p^2 - Subscript[E, 1] m), {p, 0, \[CapitalLambda]}]

and

Integrate[(p^2)/((p^2 - Subscript[E, 1] m) (p^2 + m^2)), {p, 0, \[CapitalLambda]}]

I have the following questions: [1. ] Why does Mathematica 9 start all notebooks as "Untitled-1 (Debug)", in Mathematica 8, a new notebook doesn't show "Debug" [2. ] On Mathematica 8 on Linux (32 GB RAM), the evaluation takes a minute or so. On the college Windows XP machine - 4 GB RAM, it has still not provided the answer after 30 minutes. [3. ] The answers (from Linux) appear unnecessarily complicated. Is there a way to force Mathematica to use partial fractions i.e. nudge it in a way that humans would solve these two integrals?

POSTED BY: Yaj Bhattacharya
8 Replies

My Mathematica can do:

Integrate[p^2/(p^2 - Em), p]

giving:

p-Sqrt[Em] ArcTanh[p/Sqrt[Em]]

No problem.

POSTED BY: Sander Huisman
Posted 12 years ago
POSTED BY: Bill Simpson
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