2.6 Integral <AA||AA> 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'.

② Integrate with electron 2. And we find I.

Set α=rAB/a0. 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.

②-1　Integrate I''1. MyLibrary 3-1-2

②-2　Integrate I''2. MyLibrary 3-1-5

②-3　Integrate I''3. MyLibrary 3-1-4