Strange results
- To: mathgroup at smc.vnet.net
- Subject: [mg15389] Strange results
- From: "Ing. Alessandro Toscano Dr." <toscano at ieee.org>
- Date: Tue, 12 Jan 1999 03:14:52 -0500
- Sender: owner-wri-mathgroup at wolfram.com
The following in/out does not make sense to me:
In[2]:=
p=Integrate[Cos[x]^n,x]
Out[2]=
\!\(\(-\(\(Cos[x]\^\(1 + n\)\
Hypergeometric2F1[\(1 + n\)\/2, 1\/2, \(3 + n\)\/2,
Cos[x]\^2]\
Sin[x]\)\/\(\((1 + n)\)\ \ at Sin[x]\^2\)\)\)\) In[4]:=
p//.n->0//PowerExpand
Out[4]=
-ArcSin[Cos[x]]
In[7]:=
p//.n->1//Simplify//PowerExpand
Out[7]=
-1+Sin[x]
Isn't it true that (Integrate[Cos[x]^0,x] == x? Isn't it true that
(Integrate[Cos[x]^1,x] == Sin[x]?
Why do I get this strange result?
I am using Mathematica 3.01 on Pcs.
Thanks for any info.
***********************************
Ing. Alessandro Toscano Dr.
Universite di Roma Tre
Dip. Ingegneria Elettronica
Via della Vasca Navale, 84
00146, Roma, ITALIA
Tel. +39-6-55177095
Fax +39-6-5579078
mailto:toscano at ieee.org
<http://ato.ele.uniroma3.it>
************************************