Suppose that for each i such that 1 ≤ i ≤ N one has ∫ i − 1 i f ( t ) d t = i . Show that ∫ 0 N f ( t ) d t = N ( N + 1 ) 2 .
Calculus Volume 2
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Introductory Statistics
Using and Understanding Mathematics: A Quantitative Reasoning Approach (6th Edition)
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