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I know that the equation for the surface area of any solid of revolution around, say, the x-axis is
[tex] SA = 2\pi\int_{a}^{b} y\sqrt{1 + (\frac{\,dy}{\,dx})^2} \,dx [/tex]
What I need is the same formula except in parametric terms, like if the problem was given in terms of x(t) and y(t). Any takers?
[tex] SA = 2\pi\int_{a}^{b} y\sqrt{1 + (\frac{\,dy}{\,dx})^2} \,dx [/tex]
What I need is the same formula except in parametric terms, like if the problem was given in terms of x(t) and y(t). Any takers?