My Math Forum Triple integrals

 Calculus Calculus Math Forum

July 30th, 2017, 04:57 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^2-y^2

I got

sqrt(5)<r<sqrt(6)
-r^2<z<sqrt(6-r^2)
0<phi<2pi
Attached Images
 20496432_1320383701393072_993587594_n.jpg (22.6 KB, 8 views) 20524289_1320383644726411_1069528211_o.jpg (60.8 KB, 3 views) 20526480_1320383684726407_106958042_n.jpg (19.7 KB, 2 views)

 July 30th, 2017, 12:48 PM #2 Global Moderator   Joined: May 2007 Posts: 6,806 Thanks: 716 I haven't looked at the others. However for 1: 1

 Tags integrals, triple

 Thread Tools Display Modes Linear Mode

 Similar Threads Thread Thread Starter Forum Replies Last Post gelatine1 Calculus 2 March 12th, 2014 12:10 PM gaussrelatz Calculus 11 November 3rd, 2013 12:03 PM philip Calculus 3 October 31st, 2013 09:07 AM nabink Calculus 2 November 6th, 2012 05:26 AM gaussrelatz Algebra 0 December 31st, 1969 04:00 PM

 Contact - Home - Forums - Cryptocurrency Forum - Top