Calculus Problem: Derive (1) Explicitly

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SUMMARY

The discussion focuses on deriving the expression J(q²) = -1/2 ln²(-q²/λ²) + 2 ln(-q²/λ²) + π²/6 - 5/2 explicitly. It highlights that if q and λ are real numbers, the logarithmic terms become undefined due to the negative arguments. Therefore, the derivation requires careful consideration of the domain of the variables involved.

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how do you derive (1)?please work it out explicitly
 
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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 [itex]\lambda[/itex] are real, then those logarithms are not defined.
 

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