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Parametric Surface Area About the y-Axis
$$S=2\pi\int_a^bx(t)\sqrt{\left(\frac{dx}{dt}\right)^2+\left(\frac{dy}{dt}\right)^2}\,dt$$
Usage
- Used for surface area generated by revolving a parametric curve about the $$y$$-axis.
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Parametric Surface Area About the y-Axis
$$S=2\pi\int_a^bx(t)\sqrt{\left(\frac{dx}{dt}\right)^2+\left(\frac{dy}{dt}\right)^2}\,dt$$
Usage
- Used for surface area generated by revolving a parametric curve about the $$y$$-axis.
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