# Riemann integrability

## 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

## 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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