The scipy documentation states that integrate.quad
uses "a technique from the Fortran library QUADPACK". QUADPACK provides several routines using different techniques. Which one(s) does integrate.quad
use ?
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An answer to your question is given in a previous post:
How to know integration technique used by quadpack
For finite integration limits, the integration is performed using a Clenshaw-Curtis method which uses Chebyshev moments. ... If one of the integration limits is infinite, then a Fourier integral is computed (assuming w neq 0).