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Thanks for your reply Jim Baldwin. Not that for the function 1/x, at x=0, the plot of the function would show that the value of 1/x goes to infinity when approached from both sides. That does not imply that the function 1/x is not integrable!!...
Are there any alternatives to the NIntegrate method attempted here? The following numerical integration appears to gets stuck indefinitely (>> 12 hours) on a 32GB machine with Mathematica 11.2, with different (very low or high) values of...
Thank you, Michael! Are the results coming to be different for the two integrals, for the same limits?
Thank you Giancula and Sam.
Is there a way to help Mathematica evaluate the following integral? Integrate[((4*Log[((p1 - p3)^2 + \[Omega]^2)/((p1 + p3)^2 + \[Omega]^2)]* Log[((p1 - p4)^2 + \[Omega]^2)/((p1 + p4)^2 + \[Omega]^2)])/(p3*p4))*(Sin[p1]/p1), ...
Is there a way to get Mathematica to provide a meaningful answer - perhaps semi-numerically - for the following numerical integral over vectors? Note that it is OK to assume a value for \Alpha. Additionally the vector $\vec{x}$ is not being...
Take the following integration over Dirac delta functions Integrate[DiracDelta[-k2 + p2]*DiracDelta[-k3 + q1]*DiracDelta[k4 + p1 - p2 + q1], {p2, -Infinity, Infinity}, Assumptions -> Element[k2, Reals], Assumptions ->...
Thank you. Sorry for the following really dumb question - jjm = jj /. m -> 2. implies that m is being set to 2. prior to performing the integration. What is the @@ intvariables2 in this case, is it over all of p3v, q3v, pv, qv?
Is there a way in Mathematica to test whether the integral converges, i.e. numerical integration is kosher? The variables are q3v = Table[q3[i], {i, 3}]; p3v = Table[p3[i], {i, 3}]; qv = Table[q[i], {i, 3}]; pv =...
Thanks Michael. To use the solution in my specific case, should I be using the following? i0 := (Integrate[(h[p1]*Subscript[C, p1])/E^(I*p1*x), {p1, -Infinity, Infinity}] + Integrate[E^(I*p1*x)*hDag[p1]*Subscript[C, p1], {p1,...