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February 22nd, 2010, 04:08 PM   #1
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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]
????
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February 22nd, 2010, 05:25 PM   #2
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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.
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February 22nd, 2010, 05:28 PM   #3
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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?
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February 22nd, 2010, 05:44 PM   #4
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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.
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February 22nd, 2010, 06:06 PM   #5
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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.
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February 22nd, 2010, 06:31 PM   #6
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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.
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February 22nd, 2010, 06:32 PM   #7
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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.
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February 23rd, 2010, 01:04 AM   #8
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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.
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February 24th, 2010, 12:53 PM   #9
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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 non-graphical algebra. I specifically asked you to stop replying skipjack.
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February 24th, 2010, 02:31 PM   #10
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Re: How to reverse the order of integration of a double integral

wow....the thread starter is beyond ridiculous
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