Volumes by Disk and Washer Methods

AP Calculus AB· difficulty 4/5

x

A region from x=ax=a to x=bx=b revolves about the xx-axis. By disks, volume equals:

  • A

    2πabxf(x)dx2\pi \int_a^b x f(x)\,dx

  • B

    abf(x)dx\int_a^b f(x)\,dx

  • C

    πabf(x)dx\pi \int_a^b f(x)\,dx

  • D

    πab[f(x)]2dx\pi \int_a^b [f(x)]^2\,dx

    check_circle

Explanation

Disk method: V=πab[f(x)]2dxV = \pi \int_a^b [f(x)]^2\,dx.

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