
2.4 Integral <ABAB> over hyperbolic Prolate Spheroidal Coordinates
Place the integral in parentheses as I'. I and I' looks like follows.

① Integrate with electron 1. And we find I'.
Common for 2.4 <ABAB>, 2.5 <AAAB>, and 2.6 <AAAA>
r_{A2} will be substituted later.
Set α=r_{AB}/a_{0}.
Here, we set I''_{1}, I''_{2}, and I''_{3} as follows.
We obtain I below.
And we will integrate I''_{1}, I''_{2}, and I''_{3} individually.
②1 Integrate I''_{1}.
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②2 Integrate I''_{2}.
Here we use the next volume element.
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②3 Integrate I''_{3}.
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Getting I''_{1}, I''_{2}, and I''_{3} list as follows.
Introducing I''_{1}, I''_{2}, and I''_{3}, we obtain I below.


