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 09:19:11 +0800
integrate((x^2+1)/(x^4+1),x,0,1) can be simplifed. When I run this command
under Maxima,it returns:
(%i1) integrate((x^2+1)/(x^4+1),x,0,1);
sqrt(2) + 2 2 - sqrt(2)
atan(-----------) atan(-----------)
sqrt(2) sqrt(2)
(%o1) ----------------- + -----------------
sqrt(2) sqrt(2)
However in Matlab it returns:
>> syms x;
>> int((x^2+1)/(x^4+1),0,1)
ans =
1/4*2^(1/2)*pi
How to make Maxima simplify it?
Zhang Cun
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