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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CAT Formulas
Indefinite Integration
Volume About an Arbitrary Vertical Line
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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