27.3 Consequences of the Riemann-Lebesgue theorem

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27.3 Consequences of the Riemann-Lebesgue theorem
  1. NPTEL-NOC IITM
  2. 27.3 Consequences of the Riemann-Lebesgue theorem
  3. consequences of Riemann-Lebesgue theorem
  4. Sufficient conditions for integrability. Set of discontinuity and integrability.
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In this week's assignment, why topologist's sine curve is not integrable on [0, 1]??

It has just one discontinuity at zero, and according to the R-L therorem it is clearly Riemann integrable. What am i missing here?

lazywarrior