Integrate?
- To: <mathgroup at yoda.ncsa.uiuc.edu>
- Subject: Integrate?
- From: Robert Staerk <staerk at iam.unibe.ch>
- Date: 31 Oct 90 13:41 +0100
Mathematica gives a wrong answer to the following integral:
2 Pi
/
| 1/2
| (2 - 2 cos(x)) dx
|
/
0
Is this a known bug?
idefix> math
Mathematica (sun4) 1.2 (August 22, 1989) [With pre-loaded data]
by S. Wolfram, D. Grayson, R. Maeder, H. Cejtin,
S. Omohundro, D. Ballman and J. Keiper
with I. Rivin and D. Withoff
Copyright 1988,1989 Wolfram Research Inc.
-- Terminal graphics initialized --
In[1]:= Integrate[ Sqrt[2 - 2 Cos[x]], {x, 0, 2 Pi}]
Out[1]= 0
In[2]:= NIntegrate[ Sqrt[2 - 2 Cos[x]], {x, 0, 2 Pi}]
Out[2]= 8.
In[3]:= Quit
idefix> maple
|\^/| MAPLE V
._|\| |/|_. Copyright (c) 1981-1990 by the University of Waterloo.
\ MAPLE / All rights reserved. MAPLE is a registered trademark of
<____ ____> Waterloo Maple Software.
| Type ? for help.
> int( sqrt(2 - 2 * cos(x)), x=0...2*Pi );
8
> done
bytes used=1447572, alloc=917336, time=8.116
idefix>
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Robert Staerk (St\"ark) | Laenggassstrasse 51 | Phone: +41 31 65 85 58
Institut fuer Informatik | CH-3012 Bern | Fax: +41 31 65 39 65
und angewandte Mathematik | Switzerland | <staerk at iam.unibe.ch>
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