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Math Help - Area bounded by graphs

  1. #1
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    Area bounded by graphs

    The area bounded by the graphs of y=e^(-2x),
    y=-e^(x), x=0, and x=2 is what?
    I am having a hard time integrating. Thanks for the help.
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  2. #2
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    Quote Originally Posted by nystudent2729 View Post
    The area bounded by the graphs of y=e^(-2x),
    y=-e^(x), x=0, and x=2 is what?
    I am having a hard time integrating. Thanks for the help.

    clearly y=e^{-2x} is greater on this interval by plugging in say 1.

    so

    \int e^{-2x} +e^{x}

    Can you integrate this?

    Hint
    \int e^{x}=e^{x}
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  3. #3
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    top function - bottom function ...

    A = \int_0^2 e^{-2x} - (-e^x) \, dx
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