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Thread: Area between a curve

  1. May 13th 2012, 08:54 AM #1
    titansfreak93
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    Area between a curve

    Find the area of the region between y=3e^(-2x) and y=lnx for 1<x<2. Round your answer to three decimal places.
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  2. May 13th 2012, 10:00 AM #2
    skeeter
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    Re: Area between a curve

    Quote Originally Posted by titansfreak93 View Post
    Find the area of the region between y=3e^(-2x) and y=lnx for 1<x<2. Round your answer to three decimal places.
    3e^{-2x} = \ln{x} at x \approx 1.268

    A = \int_1^{1.268} 3e^{-3x} - \ln{x} \, dx + \int_{1.268}^2 \ln{x} - 3e^{-2x} \, dx

    get out your calculator
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