9.7 Evaluate the integral dx using the following methods: (a) Simpson's 1/3 method. Divide the whole interval into six subintervals. (b) Simpson's 3/8 method. Divide the whole interval into six subintervals. The exact value of the integral is 1 = In162 . Compare the results and discuss the reasons for the dif- 25 ferences.
9.7 Evaluate the integral dx using the following methods: (a) Simpson's 1/3 method. Divide the whole interval into six subintervals. (b) Simpson's 3/8 method. Divide the whole interval into six subintervals. The exact value of the integral is 1 = In162 . Compare the results and discuss the reasons for the dif- 25 ferences.
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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![**9.7 Evaluate the Integral**
Evaluate the integral
\[ I = \int_{0}^{2.4} \frac{2x}{1+x^2} \, dx \]
using the following methods:
(a) **Simpson’s 1/3 Method**: Divide the whole interval into six subintervals.
(b) **Simpson’s 3/8 Method**: Divide the whole interval into six subintervals.
The exact value of the integral is
\[ I = \ln\left(\frac{169}{25}\right). \]
Compare the results and discuss the reasons for the differences.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff7e7c908-505f-4c35-8ac4-e541f2ab69b2%2F801be8f4-800c-42bd-9a61-b3ce9c3fbab3%2F71afjsz_processed.png&w=3840&q=75)
Transcribed Image Text:**9.7 Evaluate the Integral**
Evaluate the integral
\[ I = \int_{0}^{2.4} \frac{2x}{1+x^2} \, dx \]
using the following methods:
(a) **Simpson’s 1/3 Method**: Divide the whole interval into six subintervals.
(b) **Simpson’s 3/8 Method**: Divide the whole interval into six subintervals.
The exact value of the integral is
\[ I = \ln\left(\frac{169}{25}\right). \]
Compare the results and discuss the reasons for the differences.
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