consider:

, R:  z <= sqrt(x^2+y^2+z^2)  ,  z<=sqrt(1-x^2-y^2)
what's wrong in my maple code:

>restart:

first:=int(exp((x^2+y^2+z^2)^(3/2)),x=sqrt(z^2-y^2)..sqrt(1-y^2-z^2)):
first:=simplify(first)assuming y>sqrt((z^2)/2)  ,  y< sqrt((1-z^2)/2);

Hi everyone, 

In my research project, I needed to evaluate a multi-variable integration.
int(int(sqrt(x^2+y^2),x),y)  , D: {(x^2+y^2 <= 2*y)  ,( y<=x ) , (x,y >0)}