Use Simpson's 1/3 rule with n segments to approximate the integral of the following function on interval [1, 13] sin (²+¹) The exact value of the integral is f(x) = 1.945 sin Iexact = 15.4821 Fill in the blank spaces in the following table. Round up your answers to 4 decimals. Relative error &t is defined as I - Iezact * 100% Iexact Et = n, segments I, integral 2 8 Et (%)
Use Simpson's 1/3 rule with n segments to approximate the integral of the following function on interval [1, 13] sin (²+¹) The exact value of the integral is f(x) = 1.945 sin Iexact = 15.4821 Fill in the blank spaces in the following table. Round up your answers to 4 decimals. Relative error &t is defined as I - Iezact * 100% Iexact Et = n, segments I, integral 2 8 Et (%)
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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![Use Simpson's 1/3 rule with n segments to approximate the integral of the following function on interval [1, 13]
sin (²+¹)
The exact value of the integral is
f(x) = 1.945 sin
Iexact = 15.4821
Fill in the blank spaces in the following table. Round up your answers to 4 decimals. Relative error &t is defined as
I - Iezact
* 100%
Iexact
Et =
n, segments I, integral
2
8
Et (%)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F19846a01-4e43-4ebb-ae7e-0012981fdd79%2Fc519c671-c7ea-4146-ac4b-1c9a55dfb1ee%2F9ulabal_processed.png&w=3840&q=75)
Transcribed Image Text:Use Simpson's 1/3 rule with n segments to approximate the integral of the following function on interval [1, 13]
sin (²+¹)
The exact value of the integral is
f(x) = 1.945 sin
Iexact = 15.4821
Fill in the blank spaces in the following table. Round up your answers to 4 decimals. Relative error &t is defined as
I - Iezact
* 100%
Iexact
Et =
n, segments I, integral
2
8
Et (%)
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