Comments on: Divergent Improper Integrals: change of variables to an unbounded integrand.
https://collegemathteaching.wordpress.com/2012/02/19/divergent-improper-integrals-change-of-variables-to-an-unbounded-integrand/
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By: blueollie
https://collegemathteaching.wordpress.com/2012/02/19/divergent-improper-integrals-change-of-variables-to-an-unbounded-integrand/#comment-7317
Thu, 08 Feb 2018 21:30:54 +0000http://collegemathteaching.wordpress.com/?p=1154#comment-7317cool!
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By: John
https://collegemathteaching.wordpress.com/2012/02/19/divergent-improper-integrals-change-of-variables-to-an-unbounded-integrand/#comment-7316
Thu, 08 Feb 2018 20:54:20 +0000http://collegemathteaching.wordpress.com/?p=1154#comment-7316Integral of 1/lnx is monotonically decreasing, yet diverges when evaluated from 1 to infinity. Performing the substitution u=lnx transforms the integrand into (e^u)/u, which is clearly unbound asa u goes to infinity. Fairly certain this method is valid for any integrand of the form 1/(lnx)^p for p>1.
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