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        riddles >> general problem-solving / chatting / whatever >> Intriguing integrals
        
(Message started by: BenVitale on May 11^th, 2010, 1:20am)

Title: Intriguing integrals
Post by BenVitale on May 11^th, 2010, 1:20am

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