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An Elementary Proof of the Theorem on Change of Variable in Riemann Integration

Published online by Cambridge University Press:  03 November 2016

Roy O. Davies
Roy O. Davies*
Affiliation:
The University, Leicester
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Extract

1. The preceding paper considers the most general theorem on change of variable in a Riemann integral: If g(t) is integrable over [a, b] and f (x) is integrable over G ([a, b]), then (G(t))g(t) dt exists and equals (x)dx.

Type
Research Article
Information
The Mathematical Gazette , Volume 45 , Issue 351 , February 1961 , pp. 23 - 25
Copyright
Copyright © Mathematical Association 1961

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