My Math Forum  

Go Back   My Math Forum > College Math Forum > Calculus

Calculus Calculus Math Forum


Reply
 
LinkBack Thread Tools Display Modes
May 1st, 2013, 01:05 AM   #1
Newbie
 
Joined: May 2013

Posts: 2
Thanks: 0

triple integral

Hi! I have some problems with the integral

where .
I have to change it to spherical coordinates but... nothing..
can someone help me?
Thanks
laura123 is offline  
 
May 1st, 2013, 01:16 PM   #2
Global Moderator
 
Joined: May 2007

Posts: 6,379
Thanks: 542

Re: triple integral

Quote:
Originally Posted by laura123
Hi! I have some problems with the integral

where .
I have to change it to spherical coordinates but... nothing..
can someone help me?
Thanks
I suggest you convert to cylindrical coordinates: (x,y) -> (r,?) and z -> z.
mathman is offline  
May 1st, 2013, 04:37 PM   #3
Newbie
 
Joined: May 2013

Posts: 2
Thanks: 0

Re: triple integral

thank you mathman, but the problem is in the integral ...it's a nonelementary integral..
laura123 is offline  
May 2nd, 2013, 04:48 PM   #4
Global Moderator
 
Joined: May 2007

Posts: 6,379
Thanks: 542

Re: triple integral

gradshteyn and ryzhik pdf download

Google the above. You can get it free. Look for atsol.....

If you can't find it there, it probably can't be done analytically.
mathman is offline  
May 3rd, 2013, 08:19 AM   #5
Math Team
 
mathbalarka's Avatar
 
Joined: Mar 2012
From: India, West Bengal

Posts: 3,871
Thanks: 86

Math Focus: Number Theory
Re: triple integral

Quote:
Originally Posted by laura123
The integral is equivalent to where is the 4-th root of unity.

In fact, this can be arbitrarily generalized for any exponent replaced by 4 in the given integral.
mathbalarka is offline  
May 9th, 2013, 11:11 PM   #6
Member
 
Joined: Mar 2009
From: Asheville, NC

Posts: 48
Thanks: 0

Re: triple integral

Quote:
Originally Posted by laura123
Hi! I have some problems with the integral

where .
I have to change it to spherical coordinates but... nothing..
can someone help me?
Thanks
Assuming I have this right...



And simplify? Or am I completely wrong?
wetmelon is offline  
Reply

  My Math Forum > College Math Forum > Calculus

Tags
integral, triple



Thread Tools
Display Modes


Similar Threads
Thread Thread Starter Forum Replies Last Post
Triple integral Math_user Calculus 4 March 27th, 2014 07:18 AM
Help with Evaluating a Triple Integral Beevo Calculus 0 December 2nd, 2012 02:05 PM
triple integral for mass frankpupu Calculus 1 February 19th, 2012 08:12 AM
Help with a triple integral tinyone Calculus 0 November 7th, 2010 09:54 AM
triple integral heomoi Calculus 0 April 6th, 2009 06:55 PM





Copyright © 2017 My Math Forum. All rights reserved.