firstname.lastname@example.org schrieb: > > It does not matter for the non-logarithmic part of the integrand, but > with the logarithmic terms there is the danger that the integrals are no > longer elementary if the algebraic prefactor is taken apart. I just do > not know as I did not investigate this point. >
I have checked: terms remain integrable if algebraic prefactors are taken apart. Your 94 additive terms should work as elementary exercise material for Mathematica and Rubi.
As stated in the original thread, I did the integrals from p=0 to p=pi using the substitution
t = EXP(#i*p) = COS(p) + #i*SIN(p) = c + SQRT(c^2 - 1)