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Question: 3D integration on maple

Question:3D integration on maple

only math 5 Maple
integral
June 01 2013
1

consider:

int(int(int(exp^((x^2+y^2+z^2)^(3/2)),x),y),z) , 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);
second:=int(first,y=sqrt((z^2)/2)..sqrt((1-z^2)/2)):
second:=simplify(second)assuming z>0 , z< sqrt(1/2);
third:=int(second,z=0..sqrt(1/2));

 
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