# 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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