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Volume by Revolution About the x-Axis
If the region under:
$$y=f(x)$$
from $$x=a$$ to $$x=b$$ is revolved about the $$x$$-axis:
$$V=\pi\int_a^b[f(x)]^2\,dx$$
Usage
- Used to calculate volumes of solids generated by rotating a region about the $$x$$-axis.
