Module 6 : Definition of Integral
Lecture 16 : Integral from upper and lower sums [Section 16.1]
   
(4)
 Verify the claims of lemma 16.1.4 for the following:


(5)
 Using 16.1.5, show that every constant function is integrable. Using this and remark 16.1.9(i),
 

show that function

is Riemann integrable on . Compute also.

(6)

Show that every monotone function (not necessarily continuous) is integrable on every interval .

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