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Minor simplification problem in integral
11-02-2018, 10:26 PM (This post was last modified: 11-03-2018 01:09 AM by ijabbott.)
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RE: Minor simplification problem in integral
Yes, I see the 'a' is factored out as an independent variable early on. Is there some magic method to simplify the result further? The 'simplify' function arguably makes it worse. (It puts everything under a common denominator, which is good, but still does not cancel an 'a' common to the numerator and denominator.)

EDIT: Actually, I notice there isn't in fact a common 'a' in the numerator and denominator after using 'simplify', although the result is kind of messy so it took me a while to spot my mistake:

\[\frac{a^2*\mathsf{ATAN}\left(\frac{x}{a}\right)+a*x+
x^2*\mathsf{ATAN}\left(\frac{x}{a}\right)}{2*a^4+2*a^2*x^2}\]

I suppose I can't begrudge the CAS considering that simpler by the rules it is following (putting things under a common denominator where possible), although to my aging eyes and addled brain it looks more complicated!

— Ian Abbott
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RE: Minor simplification problem in integral - ijabbott - 11-02-2018 10:26 PM



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