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Math worksheet on Riemann Sums and the Definite Integral with problems on sums, integrals, and graphing.

A math worksheet titled "Riemann Sums and the Definite Integral" from CESEP CHAMPLAIN - ST. LAWRENCE, Winter 2010, featuring problems on evaluating sums, sketching regions under curves, and calculating definite integrals using Riemann sums.

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1. (a) n
(b) n(n+1)/2
(c) n(n+1)(2n+1)/6
(d) [n(n+1)/2]^2

2. (a) 101
(b) 90
(c) 1470
(d) 8535
(e) 15250
(f) 100
(g) 1095
(h) -1155
(i) 147
(j) 1176
(k) 10872
(l) 150

3. (a) Area = 12
(b) Area = 1.5
(c) Area = 1/3
(d) Area = 1/3
(e) Area = 3
(f) Area = 16/3
(g) Area = 10/3
(h) Area = 10/3
(i) Area = 10/3
(j) Area = 1/3

4. (a) b - a
(b) 0
(c) 25
(d) 36
(e) 81
(f) 0
(g) 0
(h) 10/3
(i) 10/3
(j) 0

Parent Tip: Review the logic above to help your child master the concept of riemann sum worksheet.

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