Evaluate with the partition I de by using the definition of Riemann integral f'(x) Pn = {1, fill in the blank ,2}, ne N. Hint: (1) Each (sub)interval is given by fill in, the blank , 1≤ i ≤n.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question

given f(x)= (x^3)/2

Evaluate
with the partition
1
[²²
Pn =
IM³
Hint: (1) Each (sub)interval is given by
(2) Use the formulae
de by using the definition of Riemann integral
{1, fill in, the blank
[fill in, the blank ], 1≤i≤n.
IM=
1
1
(n+i-1)² 2n
1
(n + i) ²
=
,2}, ne N.
3
7
+
8n² 48n3
1
3
+
2n 8n²
+
7
4873
+0
+0
n5
(1).
Transcribed Image Text:Evaluate with the partition 1 [²² Pn = IM³ Hint: (1) Each (sub)interval is given by (2) Use the formulae de by using the definition of Riemann integral {1, fill in, the blank [fill in, the blank ], 1≤i≤n. IM= 1 1 (n+i-1)² 2n 1 (n + i) ² = ,2}, ne N. 3 7 + 8n² 48n3 1 3 + 2n 8n² + 7 4873 +0 +0 n5 (1).
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