Volumes by Disk and Washer Methods

AP Calculus AB· difficulty 3/5

Volume of solid formed by rotating y=exy = e^x, 0x10 \le x \le 1, about the xx-axis:

  • A

    π(e21)/2\pi (e^2 - 1)/2

    check_circle
  • B

    2π2\pi

  • C

    π(e1)\pi (e - 1)

  • D

    πe2\pi e^2

Explanation

V=π01e2xdx=π(e2x/2)01=π(e21)/2V = \pi\int_0^1 e^{2x}\,dx = \pi(e^{2x}/2)\big|_0^1 = \pi(e^2 - 1)/2.

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