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The Second Integral Theorem of Mean Value: a geometrical proof

Published online by Cambridge University Press:  20 January 2009

Gibson
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The theorem in question is the following:—if φ(x) is a function that either always increases or else always decreases as x increases from a to b, then

where a < ζ < b

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 20 , February 1901 , pp. 2 - 5
Copyright
Copyright © Edinburgh Mathematical Society 1901