July 30th, 2017, 04:57 AM  #1 
Member Joined: May 2017 From: Slovenia Posts: 52 Thanks: 0  Triple integrals
I tried solving these like 100 times but every time I get answer different from the one in the book. I'm not sure whether I make mistake or they just wrote a wrong answer. I would be thankful if someone can check them for me If you can't read from the pics: 1. 1≤x^2+y^2+z^2≤4 I got spherical coordinates: 0<r<2 0<phi<2pi 0<theta<pi/2 2. 0≤z≤x^2+y^2; x^2+y^2≤1; x≥0; y≥0 I got: 0<z<r^2 0<phi<pi/2 0<r<1 3. x^2+y^2+z^2 ≤ 6 ; z ≥ x^2y^2 I got sqrt(5)<r<sqrt(6) r^2<z<sqrt(6r^2) 0<phi<2pi 
July 30th, 2017, 12:48 PM  #2 
Global Moderator Joined: May 2007 Posts: 6,276 Thanks: 516 
I haven't looked at the others. However for 1: 1<r<2, 0<theta< pi.


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integrals, triple 
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