[22] in mathematical software users group
Re: Integrals involving abs and signum
daemon@ATHENA.MIT.EDU (daemon@ATHENA.MIT.EDU)
Thu Mar 26 07:37:15 1992
Date: Thu, 26 Mar 92 07:36:09 -0500
From: hibrown@cs.albany.edu (Herbert I Brown)
To: chen@deakin.OZ.AU, msug@MIT.EDU, tga@cs.cs.appstate.edu
Date: Thu, 26 Mar 1992 12:13:04 +1000
From: chen@deakin.OZ.AU
To: msug@MIT.EDU, tga@cs.cs.appstate.edu
Subject: Re: Integrals involving abs and signum
In my previous mail, the integration specifies the symbolic integration.
please use symbolic integration rather than numeric integration. Please
try
inte(abs(x^3), x from -c to c)
inte(sgn(x)*x^3, x from -c to c)
OK. Let's use c (under the assumption that c > 0) in lieu of 2:
> int(sin(x)*x^3,x = -c..c);
12*cos(c)*c - 12*sin(c) - 2*cos(c)*c^3 + 6*sin(c)*c^2
> int(-x^3, x = -c .. 0) + int( x^3, x = 0..c);
(c^4)/2
Herb
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