Bug in NIntegrate[]?
- To: mathgroup at smc.vnet.net
- Subject: [mg126879] Bug in NIntegrate[]?
- From: GS <vokaputs at gmail.com>
- Date: Fri, 15 Jun 2012 03:41:03 -0400 (EDT)
- Delivered-to: l-mathgroup@mail-archive0.wolfram.com
I define the function f[x] as follows: f[x_] := 0 /; x < 0 || x > 1; f[x_] := 1 It is zero outside of the interval [0,1]. This can be verified by plotting Plot[f[x], {x, -1, 2}] Now I integrate it from -1 to 2: In[270]:= NIntegrate[f[x], {x, -1, 2}] Out[270]= 3. The result should be 1, but it is 3. Clearly Mathematica ignores the fact that f[x] is zero outside of [0,1]. This caused a lot of headache for me recently when I encountered such behavior in one of my research code. GS
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