July 30th, 2017, 05:57 AM  #1 
Member Joined: May 2017 From: Slovenia Posts: 89 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, 01:48 PM  #2 
Global Moderator Joined: May 2007 Posts: 6,436 Thanks: 562 
I haven't looked at the others. However for 1: 1<r<2, 0<theta< pi.


Tags 
integrals, triple 
Thread Tools  
Display Modes  

Similar Threads  
Thread  Thread Starter  Forum  Replies  Last Post 
integral of exp(x^2) using triple integrals  gelatine1  Calculus  2  March 12th, 2014 01:10 PM 
Triple Integrals  gaussrelatz  Calculus  11  November 3rd, 2013 01:03 PM 
Rewriting triple integrals  philip  Calculus  3  October 31st, 2013 10:07 AM 
Volumes by triple integrals  nabink  Calculus  2  November 6th, 2012 06:26 AM 
Triple Integrals  gaussrelatz  Algebra  0  December 31st, 1969 04:00 PM 