The meniscus of a liquid film supported by surface tension can often be represented as h x A a x ( ) = − e 2 2 where h(x) is the height as a function of horizontal distance x and A and a are constants. The total volume of liquid supported by surface tension is then given by the integral W h x x L ≡0 ( ) d , where W is the width of the meniscus and L is its length. If W, L, h, and x are all in centimeters, compute this volume for A = 0.8, a = 2.0, W = 1, and L = 1 cm, using Romberg integration.
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