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Parametric Surface Area About the x-Axis
For:
$$x=x(t),\quad y=y(t)$$
$$S=2\pi\int_a^by(t)\sqrt{\left(\frac{dx}{dt}\right)^2+\left(\frac{dy}{dt}\right)^2}\,dt$$
Usage
- Used when the generating curve is given parametrically.
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Parametric Surface Area About the x-Axis
For:
$$x=x(t),\quad y=y(t)$$
$$S=2\pi\int_a^by(t)\sqrt{\left(\frac{dx}{dt}\right)^2+\left(\frac{dy}{dt}\right)^2}\,dt$$
Usage
- Used when the generating curve is given parametrically.
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