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Area Between Curves

AP Calculus AB· difficulty 2/5

Region between y=exy = e^x and y=1y = 1 on [0,1][0, 1]:

  • A

    e−2e - 2

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  • B

    e+1e + 1

  • C

    1−e1 - e

  • D

    e−1e - 1

Explanation

∫01(ex−1) dx=(e−1)−1=e−2\int_0^1 (e^x - 1)\,dx = (e - 1) - 1 = e - 2.

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