In Example 3.3 of INTEGRATION: THE FEYNMAN WAY by an ANONYMOUS one finds also the same advice .
I proceed as follows
The difficult part now is how to integrate which is not detailed in the article.
After knowing the result, I worked backwards. By splitting the integrand into
we can evaluate
(due to the integration constant is )
The original integral is therefore
Does anyone know another way of evaluating ?
Thanks for reminding me that “the idea is to try to make the solutions mechanical”!
I should have thought of the standard substitution . I checked the partial fractions technique you mentioned which gives
Of course the integral has the same value as before