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   Intriguing integrals

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Topic: Intriguing integrals (Read 547 times)

Benny
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Intriguing integrals
« on: May 11^th, 2010, 1:20am »

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Is the standard formula for the integral of x^k really the best one? Chris Sangwin makes an interesting case that it is not.

http://plus.maths.org/issue54/features/sangwin2/index.html

Exercise:

Write 1/x = (1/x^3) * x^2

Integrate the right hand side by parts. Explain why this, and any similar method, fails to find the integral of 1/x

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If we want to understand our world — or how to change it — we must first understand the rational choices that shape it.

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