Opened 4 years ago

Last modified 4 years ago

#24008 new defect

exponential integral of arccos

Reported by: mforets Owned by:
Priority: major Milestone: sage-8.1
Component: calculus Keywords: integration, maxima
Cc: Merged in:
Authors: Reviewers:
Report Upstream: Reported upstream. No feedback yet. Work issues:
Branch: Commit:
Dependencies: Stopgaps:

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Description (last modified by mforets)

Maxima interface returns a wrong result of this definite integral: 

sage: integrate(exp(arccos(x)),x,0,1, algorithm='maxima')                         
-1/2*e^(-1/2*pi) + 1/2

while it should be: 

sage: integrate(exp(arccos(x)),x,0,1, algorithm='sympy')
1/2*e^(1/2*pi) + 1/2

This was reported in ​ask.sage: an integral with arccos wrong

Change History (3)

comment:1 Changed 4 years ago by mforets

  • Description modified (diff)

comment:2 Changed 4 years ago by rws

This is a Maxima problem because 

(%i10) integrate(exp(acos(x)),x,0,1);
                                       - %pi/2
                                 1   %e
(%o10)                           - - ---------
                                 2       2

comment:3 Changed 4 years ago by mforets

  • Report Upstream changed from Not yet reported upstream; Will do shortly. to Reported upstream. No feedback yet.

Ok, thank you!

i've sent an ​upstream report

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