Volume About an Arbitrary Vertical Line

Rarely Tested

Volume About an Arbitrary Vertical Line

For rotation about:

$$x=c$$

the shell radius is:

$$|x-c|$$

and:

$$V=2\pi\int_a^b|x-c|f(x)\,dx$$

Usage

- Used when the axis of rotation is a vertical line other than the $$y$$-axis.

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