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May 3rd, 2013, 09:53 AM   #1
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Integration - Finding area between curve and axes

Just a quick question here from a buzzing mathemaniac - any help on the matter would be greatly appreciated! I know you guys can help me!
Not to blabber on, here's my situation: When talking about using definite integration to find areas, I'm very familiar with how to find
  • the area under a curve (i.e. the area between the curve and the x-axis)
    the area between two curves
    a volume of revolution about one of the axes
And I understand most of these operations can be reduced to a simple formula or algorithm for solving the problem
SO my question is as follows:

[color=#0000BF]
  • Is it possible to find an area between a curve and the y-axis? [/color][color=#000000]And if yes, what is the formula/algorithm to find the area?[/color]
    [color=#0000BF]AND how to find the area bounded by a curve and lines parallel to the axes?[/color] [color=#000000]Again, if there's a simple formula/algorithm for this, that would be greatly appreciated.[/color]
[color=#000000]I don't doubt questions like these are a piece of cake for you guys, so sorry for bothering you with them, but I just can't get to grips with them, and I would really appreciate any help on the topic! [/color]
[color=#00BF00]Thanks beforehand![/color][color=#000000] Cheers!
Phil[/color]
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May 3rd, 2013, 10:31 AM   #2
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Re: Integration - Finding area between curve and axes

Quote:
Originally Posted by mathomaniac

[color=#0000BF]Is it possible to find an area between a curve and the y-axis? [/color][color=#000000]And if yes, what is the formula/algorithm to find the area?[/color]
Yes , it is the same for that with the x-axis but this has only meaning if the function is one-to-one .
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