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   Cavalieri integration

   Item type: Journal Article • Journal: Quaestiones Mathematicae • Authors: E.R. Ackermann --- Computational and Applied Mathematics Department, USA T.L. Grobler --- Department of Electrical, Electronic and Computer Engineering, South Africa W. Kleynhans --- Department of Electrical, Electronic and Computer Engineering, South Africa J.C. Olivier --- School of Engineering, Australia B.P. Salmon --- Department of Electrical, Electronic and Computer Engineering, South Africa A.J. van Zyl --- Department of Mathematics and Applied Mathematics, South Africa

   We use Cavalieri's principle to develop a novel integration technique which we call Cavalieri integration. Cavalieri integrals differ from Riemann integrals in that non-rectangular integration strips are used. In this way we can use single Cavalieri integrals to find the...

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