Scipy is a module in python which allows for mathematical and scientific functions and tools. Trying to evaluate an exotic integral , using contour integration and complex analysis it can be shown that ;

Trying out the integral in scipy, the function is introduced using lambda and the scipy.integrate.quad is used over 0 to infinity to obtain the results. The result comes up with a warning on infinite recursions and a recommendation to use a special-purpose integrator and the numeric value is 1.5708678849453777, which is with 0.0015587759422623915 of the correct value (~0.025% accurate).

REFERENCES

(1) Scipy

(2) Scipy mini anthology

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