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Math Help - Another Area Problem

  1. #1
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    Another Area Problem

    Find the area of the region enclosed by the curves:

    y=e^x, y=e^6x, x=1

    I got e^6 - e, but apparently it is incorrect.
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  2. #2
    Member Abu-Khalil's Avatar
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    The curves intersects at (0,1) so the area is given by A=\int_0^1e^{6x}-e^xdx=\left.\frac{e^{6x}}{6}-e^x\right|^1_0=\frac{e^6}{6}-e+\frac{5}{6}.
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