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Math Help - Calculating an area limited by three functions

  1. #1
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    Calculating an area limited by three functions

    "An area is limited by the curve y1=(2/(x-1))-1, the curve y2=e^(-3x) and the line x=2.

    Mark up the area in a coordinate system and calculate the area."

    I'm pretty sure I should do some type of integration, but I'm having trouble finding a good way to start...
    Last edited by worakl; November 6th 2011 at 08:38 AM.
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  2. #2
    MHF Contributor Siron's Avatar
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    Re: Calculating an area limited by three functions

    Have you drawn the graphs of the functions? It will give you more insight in the question I think.
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  3. #3
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    Re: Calculating an area limited by three functions

    Yeah, I did this in WA, didn't give me much though...

    ((2/(x+1))-1) e^(-3x) 2 - Wolfram|Alpha
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  4. #4
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    Re: Calculating an area limited by three functions

    Yeah, I did this in WA, didn't give me much though...

    ((2/(x+1))-1) e^(-3x) 2 - Wolfram|Alpha
    the WA graphs you linked do not correspond do the equations you wrote in post #1.

    1) youve ploted y=2 instead of x=2
    2) you've plotted y1=(2/(x+1))-1

    Decide which is the right set of graphs, then identify the vaklues of x which are in the region (one of the limits of x will be 2).

    Then integrate both functions over those x values and subtract one from the other. Do you understand why this works?
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