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Integrating an InterpolatingFunction times another function

• To: mathgroup at smc.vnet.net
• Subject: [mg126047] Integrating an InterpolatingFunction times another function
• From: Andrew DeYoung <adeyoung at andrew.cmu.edu>
• Date: Fri, 13 Apr 2012 04:57:11 -0400 (EDT)
• Delivered-to: l-mathgroup@mail-archive0.wolfram.com

Hi,

I have made a sample InterpolatingFunction:

points = {{0, 0}, {1, 1}, {2, 3}, {3, 4}, {4, 3}, {5, 0}};
ifun = Interpolation[points]

The following integral computes fine:

Integrate[ifun[x], {x, 1, 5}]

However, this integral will not be evaluated:

Integrate[x*ifun[x], {x, 1, 5}]

Why will this integral not be computed?  Is there any way that I can
compute this integral?

Thank you kindly!

Andrew DeYoung
Carnegie Mellon University

• Follow-Ups:
  • Re: Integrating an InterpolatingFunction times another function
    • From: Bob Hanlon <hanlonr357@gmail.com>