March 26th, 2014, 12:40 AM  #1 
Newbie Joined: Mar 2014 Posts: 2 Thanks: 0  Triple integral
Hi. Now i learning. I solve almost all examples from my book, but thease two remain, there are to hard to solve them. Can someone to show the solution ? Thanks 
March 26th, 2014, 06:20 AM  #2  
Math Team Joined: Sep 2007 Posts: 2,409 Thanks: 6  Re: Triple integral
First, these are not "triple" integrals. They are just double integrals. Quote:
The substitution seems obvious. Quote: region is , the circle with radius 1. The integral becomes  
March 26th, 2014, 08:13 AM  #3 
Math Team Joined: Dec 2013 From: Colombia Posts: 7,305 Thanks: 2443 Math Focus: Mainly analysis and algebra  Re: Triple integral
The OP's question states that rather than which suggests that is constant and we thus have a single integal with respect to . Similarly for the second example.

March 26th, 2014, 01:40 PM  #4 
Newbie Joined: Mar 2014 Posts: 2 Thanks: 0  Re: Triple integral
Thanks, you are awesome. P.S. Yes, i know there are double, just little bit confusing until i try to look in book and to write here. 
March 27th, 2014, 06:18 AM  #5  
Math Team Joined: Sep 2007 Posts: 2,409 Thanks: 6  Re: Triple integral Quote:
 

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