# Real Analysis : Riemann Integrable Functions

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Show that the function h, defined on I by h(x)=x for x rational and h(x)=0 for x irrational, is not Riemann integrable on I.

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Show that the function h, defined on I by h(x)=x for x rational and h(x)=0 for x irrational, is not Riemann integrable on I.

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#### Solution Summary

Riemann integrability of functions is investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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