If f is integrable on an interval [a,a+T] of length T,then prove that f is also integrable on any other interval [b,b+T] of length T.

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If I can show that the function is integrable on any other interval of length T,I can certainly show that the integration values of that function over these two different intervals of same length are equal. That part is pretty easy. How to show that f is integrable on any other interval of same length?