Suppose that for each i such that 1 ≤ i ≤ N one has ∫ i − 1 i f ( t ) d t = i 2 . Show that
∫ 0 N f ( t ) d t = N ( N + 1 ) ( 2 N + 1 ) 6 .
Calculus Volume 2
Calculus Volume 1
Introductory Statistics
Using and Understanding Mathematics: A Quantitative Reasoning Approach (6th Edition)
Calculus for Business, Economics, Life Sciences, and Social Sciences (13th Edition)
Calculus for Business, Economics, Life Sciences, and Social Sciences (14th Edition)
Finite Mathematics & Its Applications (12th Edition)