My Math Forum  

Go Back   My Math Forum > College Math Forum > Calculus

Calculus Calculus Math Forum


Reply
 
LinkBack Thread Tools Display Modes
July 30th, 2017, 04:57 AM   #1
Member
 
Joined: May 2017
From: Slovenia

Posts: 87
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^2-y^2

I got

sqrt(5)<r<sqrt(6)
-r^2<z<sqrt(6-r^2)
0<phi<2pi
sarajoveska is offline  
 
July 30th, 2017, 12:48 PM   #2
Global Moderator
 
Joined: May 2007

Posts: 6,341
Thanks: 532

I haven't looked at the others. However for 1: 1<r<2, 0<theta< pi.
mathman is offline  
Reply

  My Math Forum > College Math Forum > Calculus

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 12:10 PM
Triple Integrals gaussrelatz Calculus 11 November 3rd, 2013 12:03 PM
Rewriting triple integrals philip Calculus 3 October 31st, 2013 09:07 AM
Volumes by triple integrals nabink Calculus 2 November 6th, 2012 05:26 AM
Triple Integrals gaussrelatz Algebra 0 December 31st, 1969 04:00 PM





Copyright © 2017 My Math Forum. All rights reserved.