Find a bound for the error for S²: ¹x6 - 3x5 – 60x4 +720x²dx¸ - actual error in each case below: using the error formula and compare this to the (a) the Rectangular rule, (b) the Trapezoidal rule, and (c) Simpson's rule.
Find a bound for the error for S²: ¹x6 - 3x5 – 60x4 +720x²dx¸ - actual error in each case below: using the error formula and compare this to the (a) the Rectangular rule, (b) the Trapezoidal rule, and (c) Simpson's rule.
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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![**Problem Statement:**
Find a bound for the error for
\[
\int_0^1 x^6 - 3x^5 - 60x^4 + 720x^2 \, dx
\]
using the error formula, and compare this to the actual error in each case below:
(a) the Rectangular rule, (b) the Trapezoidal rule, and (c) Simpson’s rule.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe2f2c4bd-bf4c-4a3b-a0a2-6333c3306a45%2Fbb2f390a-6e29-4649-beea-0b095a3584ac%2Focy0qc_processed.png&w=3840&q=75)
Transcribed Image Text:**Problem Statement:**
Find a bound for the error for
\[
\int_0^1 x^6 - 3x^5 - 60x^4 + 720x^2 \, dx
\]
using the error formula, and compare this to the actual error in each case below:
(a) the Rectangular rule, (b) the Trapezoidal rule, and (c) Simpson’s rule.
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