Hello
I wanted to calculate the Borwein integrals using sympy.
For some integrals, sympy provides the correct result
but for an other one it seems crashed.
Here my code:
>>> from sympy import *
>>> from operator import mul
>>> from functools import reduce
>>> x = symbols("x")
>>> f = lambda n: reduce(mul, (sin(x/k)/(x/k) for k in range(1, n+2, 2)))
>>> f(1)
sin(x)/x
>>> f(3)
3*sin(x/3)*sin(x)/x**2
>>> f(5)
15*sin(x/5)*sin(x/3)*sin(x)/x**3
>>> integrate(f(1), (x, 0, oo))
pi/2 CORRECT
>>> integrate(f(3), (x, 0, oo))
pi/2 CORRECT
>>> integrate(f(5), (x, 0, oo))
NO RESULT
python shell seems stuck, I have to stop it
after few minutes with a ctrl C
Regards
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