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1. Evaluate the following integral: (6 + 3 cos x) dx a. Analytically b. single application of the trapezoidal rule c. multiple-application trapezoidal rule, with n = 2 and 4 SITY

1. Evaluate the following integral: (6 + 3 cos x) dx a. Analytically b. single application of the trapezoidal rule c. multiple-application trapezoidal rule, with n = 2 and 4 SITY

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 answer letters A,B, and C.

Please include the percent relative error based on letter a.

Thank you.

1. Evaluate the following integral: (++ 3 cos x) dx a. Analytically b. single application of the trapezoidal rule c. multiple-application trapezoidal rule, with n = 2 and 4 d. single application of Simpson's 1/3 rule e. multiple-application Simpson's 1/3 rule, with n = 4 f. single application of Simpson's 3/8 rule g. multiple-application Simpson's rule, with n 5. h. Three-Point Gauss Quadrature Note: For each of the numerical estimates (b) through (h). determine the percent relative error based on (a). SITY
Transcribed Image Text:1. Evaluate the following integral: (++ 3 cos x) dx a. Analytically b. single application of the trapezoidal rule c. multiple-application trapezoidal rule, with n = 2 and 4 d. single application of Simpson's 1/3 rule e. multiple-application Simpson's 1/3 rule, with n = 4 f. single application of Simpson's 3/8 rule g. multiple-application Simpson's rule, with n 5. h. Three-Point Gauss Quadrature Note: For each of the numerical estimates (b) through (h). determine the percent relative error based on (a). SITY
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