Opened 4 years ago

Last modified 4 years ago

#22676 new defect

Different results from definite integral methods

Reported by: rws Owned by:
Priority: major Milestone: sage-8.0
Component: calculus Keywords:
Cc: Merged in:
Authors: Reviewers:
Report Upstream: N/A Work issues:
Branch: Commit:
Dependencies: Stopgaps:

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sage: ((x^-5+2*x^(1/3))^(1/5)).integral(x,.2,.3)
-3/64*(-1)^(1/5)*sqrt(2*sqrt(5) - 10)*log(sqrt(1.0....
sage: _.n()
0.405689098012116 + 0.0000627092036312171*I
sage: ((x^-5+2*x^(1/3))^(1/5)).nintegrate(x,.2,.3)
(0.4055729987450207, 4.50276481372992e-15, 21, 0)

Wolfram Alpha favors the latter result.

Change History (1)

comment:1 Changed 4 years ago by tscrim

Note that we also have:

sage: F = ((x^-5+2*x^(1/3))^(1/5)).integral(x)
sage: (F(x=.3) - F(x=.2)).n()
0.405572998744828 + 2.49245069028348e-14*I
sage: numerical_integral(((x^-5+2*x^(1/3))^(1/5)), .2, .3)
(0.40557299874502073, 4.502764813729917e-15)
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