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Math Help - area between curves

  1. #1
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    area between curves

    Find the area of the region between the curves



    I tried doing this a couple times, but keep on getting an incorrect answer.
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    Quote Originally Posted by cdlegendary View Post
    Find the area of the region between the curves



    I tried doing this a couple times, but keep on getting an incorrect answer.
    Please show all your work so that appropriate guidance can be given.
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  3. #3
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    Quote Originally Posted by cdlegendary View Post
    Find the area of the region between the curves



    I tried doing this a couple times, but keep on getting an incorrect answer.
    What do you mean x=5? you need a lower and upper limit of integration, do you want to do it from where they intersect?
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    That was all the information given to me in the question. As for my work.. I tried to divide the 2 curves @ the intersection, and tried to integrate them seperately from 0 to 5. I got a ln(0) when adding/subtracting the areas...and really don't know what to do with that.
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    Quote Originally Posted by cdlegendary View Post
    That was all the information given to me in the question. As for my work.. I tried to divide the 2 curves @ the intersection, and tried to integrate them seperately from 0 to 5. I got a ln(0) when adding/subtracting the areas...and really don't know what to do with that.
    The enclosed region does not extend all the way to x=0. Think about where y=1/x^2 and y=1/x intersect.
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  6. #6
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    Quote Originally Posted by cdlegendary View Post
    That was all the information given to me in the question. As for my work.. I tried to divide the 2 curves @ the intersection, and tried to integrate them seperately from 0 to 5. I got a ln(0) when adding/subtracting the areas...and really don't know what to do with that.
    This is not what I consider showing all your work. Draw the graphs of the two curves, calculate the x-coordinate of where they intersect, set up the integrals in the usual way and do the calculation.

    If you need more help, show ALL your working and say where you're stuck - don't just give a thumbnail description of what you've tried to do.
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