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[MUG] arctan-problems
| [MUG] arctan-problems |
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Author: Marko Horbatsch
Posted: Tue, 14 May 2002 10:35:19 -0400
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>> From: Marko Horbatsch "marko"
Dear MUG,
I was wondering whether a conversion facilty exists, in which
expressions of the form
arctan(y/x) (or more generally arguments that involve some fractions)
are converted to arctan(y,x);
and (perhaps more importantly) that one could instruct Maple's
integration engine to use the more general arctan function
wherever appropriate.
I think that a good number of integration problems in maple
could be solved by this. My recent fiasco in maple came
up when I tried to integrate an ellipsoid in Cartesian
coordinates (not chosen as principal axes). Following
the first integral (over z) which resulted in
I1:=sqrt(72-135*y^2-30*x*y-35*x^2)/6;
the y-integration to be done between limits
-x/9 - 2/45*sqrt(270-125*x^2), -x/9 + 2/45*sqrt(270-125*x^2)
resulted in 4 arctan expressions two of which had 1/0
arguments, but Maple failed to recognize that. The
resulting function of x couldn't be plotted, because
Maple's evalf acted like a random number generator
jumping between Pi/2 and -Pi/2.
thanks,
marko horbatsch
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