b. Evaluate the integral directly and find ET *** (2x²+5) dx = (Type an exact answer. Type an integer or a simplified fraction.) |E₁|= (Round to two decimal places as needed.) c Use the formula (ET/(true value)) x 100 to express |ET| as a percentage of the integral's true value. ☐% (Round to the nearest integer as needed.) 11. Using Simpson's rule The instructions for the given integral have two parts, one for the trapezoidal rule and one for Simpson's √ (2x²+5) dx -1
b. Evaluate the integral directly and find ET *** (2x²+5) dx = (Type an exact answer. Type an integer or a simplified fraction.) |E₁|= (Round to two decimal places as needed.) c Use the formula (ET/(true value)) x 100 to express |ET| as a percentage of the integral's true value. ☐% (Round to the nearest integer as needed.) 11. Using Simpson's rule The instructions for the given integral have two parts, one for the trapezoidal rule and one for Simpson's √ (2x²+5) dx -1
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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Question
Transcribed Image Text:The instructions for the given integral have two parts, one for the trapezoidal rule and one for Simpson's rule
(2x²+5) dx
1
b. Evaluate the integral directly and find ET-
(2x²+5) dx =
-1
(Type an exact answer. Type an integer or a simplified fraction.)
E₁=
(Round to two decimal places as needed.)
c. Use the formula (ET/(true value)) x 100 to express ET as a percentage of the integral's true value.
%
(Round to the nearest integer as needed.)
II. Using Simpson's rule
***
The instructions for the given integral have two parts, one for the trapezoidal rule and one for Simpson's rule
√ (2x²+5) dx
-1
An upper bound for Es is.
b. Evaluate the integral directly and find Es
(2x²+5)dx=
-1
(Type an exact answer. Type an integer or a simplified fraction.)
Es=0
c. Use the formula (Es/(true value)) x 100 to express Es as a percentage of the integral's true value.
%
(Round to the nearest integer as needed.)
Transcribed Image Text:The instructions for the given integral have two parts, one for the trapezoidal rule and one for Simpson's rule. Complete the following parts.
J (2x²+5) dx
-1
1. Using the trapezoidal rule
23
H
a Extimate the integral with n=4 steps and find an upper bound for ET
T=
(Type an exact answer. Type an integer or a simplified traction.)
An upper bound for Er is 4
(Round to two decimal places as needed)
b. Evaluate the integral directly and find E
1
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