integration of floor (was Re: here is an example of periodic in use)
Subject: integration of floor (was Re: here is an example of periodic in use)
From: Richard Hennessy
Date: Mon, 25 May 2009 16:24:34 -0400
Thanks, this comes up a lot when b-a = 1.
----- Original Message -----
From: "Barton Willis" <willisb at unk.edu>
To: "Richard Hennessy" <rich.hennessy at verizon.net>
Cc: "Maxima List" <maxima at math.utexas.edu>
Sent: Monday, May 25, 2009 12:12 PM
Subject: integration of floor (was Re: here is an example of periodic in use)
(%i1) load("abs_integrate.mac")$
(%i2) load("partition.mac")$
(%i3) intable[floor] : lambda([u], [-(floor(x)*(floor(x)-2*x+1))/2,diff
(u,%voi)]);
(%o3) lambda([u],[(-floor(x)*(floor(x)-2*x+1))/2,diff(u,%voi)])
(%i4) extra_integration_methods : cons('intfudu,
extra_integration_methods)$
(%i5) integrate(floor(x),x);
(%o5) -(floor(x)*(floor(x)-2*x+1))/2
(%i6) integrate(floor(5 * x - 7),x);
(%o6) -(floor(x)*(floor(x)-2*x+1))/10-7*x
(%i7) integrate(floor(x),x,0,4);
(%o7) 6
Barton
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