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Integration based on the parametrisation of conics

Published online by Cambridge University Press:  15 June 2017

Jonathan Hoseana
Jonathan Hoseana*
Affiliation:
School of Mathematical Sciences, Queen Mary University of London, Mile End Road, London E1 4NS e-mail: j.hoseana@qmul.ac.uk

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Integration is an important topic discussed in first year calculus. Many subsequent topics, such as solving first-order or second-order differential equations, requires the evaluation of at least one integral, and sometimes several.

The most challenging material in integration is arguably the techniques of integration. Unfortunately, due to time constraints, only basic techniques are commonly taught, while in reality, many integrals having special forms are solvable only by using more sophisticated techniques.

Information

Type
Articles
Information
The Mathematical Gazette , Volume 101 , Issue 551 , July 2017, pp. 261 - 267
Copyright
Copyright © Mathematical Association 2017 

References

1. Hardy, G. H., The integration of functions of a single variable Cambridge University Press (1958).Google Scholar
2. Gradshteyn, I. S. and Ryzhik, I. M., Table of integrals, series, and products (6th edn.) Academic Press, San Diego (2000).Google Scholar
3. Maron, I. A., Problems in calculus of one variable Mir Publishers, Moscow (1973).Google Scholar
4. Sharma, A. K., Elementary integral calculus Discovery Publishing House, New Delhi (2005).Google Scholar