AP Calculus AB

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What is the area of the region bounded by the graphs y=e^x, y=1, x=-1?

  • AP Calculus AB -

    I see a thin "triangular" region in quadrant II
    form x = -1 to x=0
    the "height" is 1 - e^x

    area = ∫(1 - e^x) dx from -1 to 0
    = [ x - e^x] from -1 to 0
    = 0 - 1 - (-1 - e^-1)
    = e^-1
    or
    = 1/e

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