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Let f(x) = x². Find the upper and lower sum for the region bounded by f(x), the x-axis, x = 0 and x = 3 with n = 6. %3D

Let f(x) = x². Find the upper and lower sum for the region bounded by f(x), the x-axis, x = 0 and x = 3 with n = 6. %3D

Advanced Engineering Mathematics
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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**1. Evaluate the following sums.** (a) \(\sum_{j=-2}^{1} j^5\) (b) \(\sum_{i=1}^{n} (4i^2 - 3i)\) --- **2. Let \(f(x) = x^2\). Find the upper and lower sum for the region bounded by \(f(x)\), the x-axis, \(x = 0\), and \(x = 3\) with \(n = 6\).**
Transcribed Image Text:**1. Evaluate the following sums.** (a) \(\sum_{j=-2}^{1} j^5\) (b) \(\sum_{i=1}^{n} (4i^2 - 3i)\) --- **2. Let \(f(x) = x^2\). Find the upper and lower sum for the region bounded by \(f(x)\), the x-axis, \(x = 0\), and \(x = 3\) with \(n = 6\).**
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