integrate((x^2+1)/(x^4+1),x,0,1) can't be simplified
Subject: integrate((x^2+1)/(x^4+1),x,0,1) can't be simplified
From: cunzhang
Date: Mon, 28 Apr 2008 11:09:42 +0800
hi,sorry for my unclear expression. I mean
(%i1) integrate((x^2+1)/(x^4+1),x,0,1);
sqrt(2) + 2 2 - sqrt(2)
atan(-----------) atan(-----------)
sqrt(2) sqrt(2)
----------------- + -----------------
sqrt(2) sqrt(2)
should be simplified to sqrt(2)/4*%pi, say,
sqrt(2) + 2 2 - sqrt(2)
atan(-----------) atan(-----------)
sqrt(2) sqrt(2) %pi
----------------- + ----------------- = ----
sqrt(2) sqrt(2) 3/2
2
is exact.
So how can Maxima do it?
?? Mon, 28 Apr 2008 09:29:43 +0800??Juan Pablo Romero Bernal
<jromerobernal at gmail.com> ????:
> Hi,
>
>> How to make Maxima simplify it?
>
> You can use:
>
> (%i7) numer:true;
> (%o7) true
> (%i8) integrate((x^2+1)/(x^4+1),x,0,1);
>
> (%o8) 1.110720726114594
>
> or
>
> (%i15) ev(integrate((x^2+1)/(x^4+1),x,0,1),numer:true);
> (%o15) 1.110720726114594
>
> By default, the numer variable is set to false.
>
> Bye,
>
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