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>>> result = quad(lambda x: expint(3, x), 0, Inf)

>>> print result

(0.33333333324560266, 2.8548934485373678e-09)  



>>> I3 = 1.0/3.0

>>> print I3

0.333333333333   



>>> print I3 - result[0]

8.77306560731e-11