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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
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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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 (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.)
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
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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