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•1.5 а. х In x dx

•1.5 а. х In x dx

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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Please solve part a.

Use Adaptive quadrature to find approximations to within 10-3 for the integrals in Exercise 1. Do not use a computer program to generate these results. Reference: Exercise 1 Compute the Simpson's rule approximations S(a, b), S(a, (a + b)/2), and S((a + b)/2, b) for the following integrals, and verify the estimate given in the approximation formula. 1.5 x² In x dx b. xe dx а. 0.35 •7/4 dx x2 – 4 d. x² sin x dx с. | 7/4 e3x sin 2x dx 1.6 2x f. dx x2 – 4 е. 3.5 cx/4 dx – 4 I (cos.x)² dx g. h. 3 -
Transcribed Image Text:Use Adaptive quadrature to find approximations to within 10-3 for the integrals in Exercise 1. Do not use a computer program to generate these results. Reference: Exercise 1 Compute the Simpson's rule approximations S(a, b), S(a, (a + b)/2), and S((a + b)/2, b) for the following integrals, and verify the estimate given in the approximation formula. 1.5 x² In x dx b. xe dx а. 0.35 •7/4 dx x2 – 4 d. x² sin x dx с. | 7/4 e3x sin 2x dx 1.6 2x f. dx x2 – 4 е. 3.5 cx/4 dx – 4 I (cos.x)² dx g. h. 3 -
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