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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,... |