Volume by Revolution About the y-Axis
If the region under $$y=f(x)$$ is revolved about the $$y$$-axis:
$$V=2\pi\int_a^bxf(x)\,dx$$
Usage
- Used with cylindrical shells for rotation about the $$y$$-axis.
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CAT Formulas
Indefinite Integration
Volume by Revolution About the y-Axis
Volume by Revolution About the y-Axis
If the region under $$y=f(x)$$ is revolved about the $$y$$-axis:
$$V=2\pi\int_a^bxf(x)\,dx$$
Usage
- Used with cylindrical shells for rotation about the $$y$$-axis.
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