Calculus Problem: Derive (1) Explicitly

[cosmology]

how do you derive (1)?please work it out explicitly

 

[HallsofIvy]

What you have is
[texJ(q^2)= -/frac{1}{2}ln^2(\frac{-q^2}{\lambda^2})+ 2ln(\frac{-q^2}{\lambda^2})+ \frac{\pi^2}{6}-\frac{5}{2}[/tex]
If q and \lambda are real, then those logarithms are not defined.