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3 -4 Estimate the minimum number of subintervals to approximate the value of 2 sin (x+3)dx with an error of magnitude less than 4 x 10 0 a. the Trapezoidal Rule. b. Simpson's Rule. T by

3 -4 Estimate the minimum number of subintervals to approximate the value of 2 sin (x+3)dx with an error of magnitude less than 4 x 10 0 a. the Trapezoidal Rule. b. Simpson's Rule. T by

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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Estimate the minimum number of subintervals to approximate the value of a. the Trapezoidal Rule. b. Simpson's Rule. a. The minimum number of subintervals using the trapezoidal rule is (Round up to the nearest whole number.) 3 -4 2 sin (x + 3)dx with an error of magnitude less than 4 × 10 by 0
Transcribed Image Text:Estimate the minimum number of subintervals to approximate the value of a. the Trapezoidal Rule. b. Simpson's Rule. a. The minimum number of subintervals using the trapezoidal rule is (Round up to the nearest whole number.) 3 -4 2 sin (x + 3)dx with an error of magnitude less than 4 × 10 by 0
Expert Solution
Step 1: Solution

Given integral: integral subscript 0 superscript 3 2 sin left parenthesis x plus 3 right parenthesis d x

We have to estimate the minimum number of subintervals to approximate the value of integral subscript 0 superscript 3 2 sin left parenthesis x plus 3 right parenthesis d x with an error of magnitude less than 4 cross times 10 to the power of negative 4 end exponent by

(a) The Trapezoidal rule

(b) Simpson's rule

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