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Mathematics-Online lexicon:

Surface between two Curves

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To calculate the surface area between two curves $ f(x)$ and $ g(x)$ one provides the integral

$\displaystyle A=\int_{a}^{b} (f(x)-g(x))dx $

where $ f(x)$ is the upper and $ g(x)$ is the lower curve, and $ a$ and $ b$ are the $ x$-coordinates of their intersections.

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  automatically generated 9/ 2/2005