Estimate the minimum number of subintervals to approximate the value ofa. 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.)3-42 sin (x + 3)dx with an error of magnitude less than 4 × 10 by0

Answered: 3 -4 Estimate the minimum number of…

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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Related questions

Question

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