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Riemann integrability

  • Thread starter Silviu
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  • #1
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Homework Statement


Find a such that f is Riemann integrable on [0,1], where:
##f = x^acos(1/x)##, x>0 and f(0) = 0

Homework Equations




The Attempt at a Solution


I found at previous points a such that f is continuous, bounded and derivable, but I am not sure how to use that (as all these implications work just one way). Also the definition with partitions seems hard to use here. Any hint?
 
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Answers and Replies

  • #2
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I found at previous points a such that f is continuous, bounded and derivable, but I am not sure how to use that (as all these implications work just one way).
You should have a statement "a function is Riemann integrable if it is [...]" that helps with all a where it is integrable. For the rest you'll have to see how to show that it is not.
 
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