integrate(sqrt(x^2+y^2),x,0,1)$ integrate(%,y,0,1)$

Continuation
 of
http://www.math.utexas.edu/pipermail/maxima/2013/032487.html

 How reduce (log(2^(3/2)+3)+2^(3/2))/6  to  (log(sqrt(2)+1)+sqrt(2))/3  ?

(%i1) load (sqdnst)$

 We define simplify command:

(%i2) simplify(x):=
block([],exp(x),radcan(%%),
         sqrtdenest(%%),
         log(%%),radcan(%%))$

(%i3) (log(2^(3/2)+3)+2^(3/2))/6;
(%o3) (log(2^(3/2)+3)+2^(3/2))/6

(%i4) simplify(%);
(%o4) (log(sqrt(2)+1)+sqrt(2))/3

best

Aleksas D