[Maxima-bugs] [ maxima-Bugs-3397562 ] sin(x^2)/(x^2) improper integral incorrect?

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Bugs item #3397562, was opened at 2011-08-24 13:31
Message generated for change (Settings changed) made by rtoy
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Category: Lisp Core - Integration
Group: None
>Status: Pending
>Resolution: Works For Me
Priority: 5
Private: No
Submitted By: https://www.google.com/accounts ()
Assigned to: Nobody/Anonymous (nobody)
Summary: sin(x^2)/(x^2) improper integral incorrect?

Initial Comment:
(%i1) integrate(sin(x^2)/(x^2),x,1,inf);

defint: integral is divergent.

This used to just return the integral as a nounform.  Numerical approximation says it's about 0.2862504407259549.  Thanks!

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>Comment By: Raymond Toy (rtoy)
Date: 2011-08-24 13:59

Message:
What version are you using?  The current version returns

-%i*gamma_incomplete(-1,2*%i)/2+%i*gamma_incomplete(-1,-2*%i)/2+1/2

This is approximately .6734567682657728.  quad_qagi also says the integral
is approximately 0.67335.

Marking this as pending/worksforme

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