Incorrect result for improper integral with MMA?
- To: mathgroup at smc.vnet.net
- Subject: [mg8773] Incorrect result for improper integral with MMA?
- From: barker at inreach.com (Chris Barker)
- Date: Thu, 25 Sep 1997 12:26:07 -0400
- Organization: San Joaquin Delta College
- Sender: owner-wri-mathgroup at wolfram.com
The command:
Integrate[1/(x*Log[x]^2),{x,3,Infinity}]
yields the result:
\!\(\*
RowBox[{
\(Integrate::"idiv"\), \( : \ \),
"\<"Integral of \!\(1\/\(x\\ \(Log[x]\)\^2\)\) does not converge on \
\!\({3, \*InterpretationBox[\"\\[Infinity]\", DirectedInfinity[1]]}\)."\>"}]\)
i.e. the integral does not converge. However, analytic techniques seem
to indicate that the integral does indeed converge to 1/ln(3). Mimicing
the analytic procedures step by step with mma also yields 1/ln(3). Am I
being stupid, or is mma wrong?
E-mail responses gladly accepted.