We have published the correct result for the integral listed in Bierens de Haan, Equation (1) in Table 148. I am attaching the Notebook with some plots and link to our paper
Here is another integral from Bierens de Haan Equation (13) Table 147
Why the second one you have to substitute t -> 1/u? Thank you.
Because the second integral remains unevaluated without the substitution. Did you try it out yourself?
Yes, and the second one is the integrate function from 0 to Infinity or from 0 to 1 as your f2? I confused a little bit with this. And if replace t->1/u, should the denominator of f2 become 1+(1/u)^2? Thank you.
What do you think should be the expression for $\mathrm dt$ in terms of $\mathrm du$?
What is the question?
Hi Mariusz, I am just posting integrals as an idea that I had. I am just looking for comments or other methods of deriving such integrals.
Where I find this Bierens de Haan Table 148?
Edited:
Ok I found this Book.
Regards M.I.
