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February 22nd, 2010, 04:08 PM  #1 
Newbie Joined: Jun 2009 Posts: 20 Thanks: 0  How to reverse the order of integration of a double integral
Alright so specifically I'm concerned with how I find the new limits of integration when I reverse a double integral. Every time I ask this someone just draws a graph and expects me to generalize it and be able to figure it out from now on. I want to know an algebraic method to solve for this. I've seen the inequality method but no one really bothers to explain it and seems to just infer the answers from no where. So how would I reverse the order of integration of the integral: ??xdxdy where x { [a,b] and y { [c,d] ???? 
February 22nd, 2010, 05:25 PM  #2 
Global Moderator Joined: Dec 2006 Posts: 20,978 Thanks: 2229 
If the "inequality method" doesn't work, you would look for some simplification which would allow it to be used. Hence you should think some more about the method until you do understand it well.

February 22nd, 2010, 05:28 PM  #3 
Newbie Joined: Jun 2009 Posts: 20 Thanks: 0  Re: How to reverse the order of integration of a double integral
That makes this more difficult than necessary to learn. I want someone to explain the inequality method to me. Is that really so much to ask?

February 22nd, 2010, 05:44 PM  #4 
Global Moderator Joined: Dec 2006 Posts: 20,978 Thanks: 2229 
Where would my explanation come from? Probably a textbook, but I would hope you've already seen a textbook. How about a video? If you put the title of your topic into Google, you will find various videos. If you watch one of them and still don't understand, let us know what specific step baffles you.

February 22nd, 2010, 06:06 PM  #5 
Newbie Joined: Jun 2009 Posts: 20 Thanks: 0  Re: How to reverse the order of integration of a double integral
OMFG are people for real. I am here asking on this forum because my 150$ textbook does not explain it, because i have spent hours (yes hours) searching on Google and youtube and have yet to find anything that explains it adequately. SKIPJACK JUST STOP REPLYING TO THIS FORUM YOU ARE NOT HELPING.

February 22nd, 2010, 06:31 PM  #6 
Senior Member Joined: Feb 2009 From: Adelaide, Australia Posts: 1,519 Thanks: 3  Re: How to reverse the order of integration of a double integral
The problem is that any "new" explanation provided here would look a lot like what you've already seen. And that wouldn't help either. Please point out a specific thing you have trouble with, or at least point out where the explanation stops making sense. 
February 22nd, 2010, 06:32 PM  #7 
Newbie Joined: Jun 2009 Posts: 20 Thanks: 0  Re: How to reverse the order of integration of a double integral
will someone please just make an attempt to explain how to reverse the order of integration using inequalities to find the new limits of integration.

February 23rd, 2010, 01:04 AM  #8 
Global Moderator Joined: Dec 2006 Posts: 20,978 Thanks: 2229 
Please try this video, which is very detailed, and tell us exactly where you get lost if you still don't follow what's being done.

February 24th, 2010, 12:53 PM  #9 
Newbie Joined: Jun 2009 Posts: 20 Thanks: 0  Re: How to reverse the order of integration of a double integral
I've already seen this video. The problem is he solves it through graphing, I want to know how to solve it using a system of inequalities, or any other form of nongraphical algebra. I specifically asked you to stop replying skipjack.

February 24th, 2010, 02:31 PM  #10 
Member Joined: Feb 2010 Posts: 31 Thanks: 0  Re: How to reverse the order of integration of a double integral
wow....the thread starter is beyond ridiculous


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