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Evaluate the following integral: 0.8 S (0.2 + 25x - 200x² + 675x³ − 900x² + 400x5) dx 0 using the method of (a) Analytical method (b) Single trapezoidal rule (c) Composite trapezoidal rule with n=2 and n=4

Evaluate the following integral: 0.8 S (0.2 + 25x - 200x² + 675x³ − 900x² + 400x5) dx 0 using the method of (a) Analytical method (b) Single trapezoidal rule (c) Composite trapezoidal rule with n=2 and n=4

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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QUESTION 2 Evaluate the following integral: 0.8 S (0.2 + 25x - 200x² +675x³ - 900x² + 400x³) dx 0 using the method of (a) Analytical method (b) Single trapezoidal rule (c) Composite trapezoidal rule with n=2 and n=4 (d) Simpson's 1/3 rule (e) Composite Simpson's rule with n=4 (f) Simpson's 3/8 rule (g) Determine the relative error for each of the method based on (a) (h) If the limit of the integral is from -0.8 to 0.8, find the width of the interval using equation b-a
Transcribed Image Text:QUESTION 2 Evaluate the following integral: 0.8 S (0.2 + 25x - 200x² +675x³ - 900x² + 400x³) dx 0 using the method of (a) Analytical method (b) Single trapezoidal rule (c) Composite trapezoidal rule with n=2 and n=4 (d) Simpson's 1/3 rule (e) Composite Simpson's rule with n=4 (f) Simpson's 3/8 rule (g) Determine the relative error for each of the method based on (a) (h) If the limit of the integral is from -0.8 to 0.8, find the width of the interval using equation b-a
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