Services & Resources / Wolfram Forums
-----
 /
MathGroup Archive
2006
*January
*February
*March
*April
*May
*June
*July
*August
*September
*October
*November
*December
*Archive Index
*Ask about this page
*Print this page
*Give us feedback
*Sign up for the Wolfram Insider

MathGroup Archive 2006

[Date Index] [Thread Index] [Author Index]

Search the Archive

sum of integrals over patial intervals != integral over whole interval

  • To: mathgroup at smc.vnet.net
  • Subject: [mg71719] sum of integrals over patial intervals != integral over whole interval
  • From: Peter Pein <petsie at dordos.net>
  • Date: Mon, 27 Nov 2006 04:04:49 -0500 (EST)

Dear group,

I wanted Mathematica to show, that for f[x_]:=Log[Sin[x]^2]Tan[x], 
Integrate[f[x],{x,0,Pi}]==0, because f[x]+f[Pi-x]==0.

Mathematica says Integrate[f[x],{x,0,Pi}] does not converge, but 
Integrate[f[x],{x,0,Pi/2}] and Integrate[f[x],{x,Pi/2,Pi}] evaluate to 
-Pi^2/12 resp. P^2/12 and the sum is zero. The more general integral 
Integrate[f[x],{x,0,z},Assumptions->Pi/2<z<=Pi] evaluates explicitly (?).

What did I do wrong?
http://people.freenet.de/Peter_Berlin/Mathe/komisch.nb

TIA,
Peter


  • Prev by Date: Question about significant digits.
  • Next by Date: Re: Not accepting function as parameter
  • Previous by thread: Re: Question about significant digits.
  • Next by thread: Re: using a different stylesheet