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
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter2: Equations And Inequalities
Section: Chapter Questions
Problem 48RE
Related questions
Question
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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe8a97171-6100-4049-9892-d827389af027%2Fc01147bd-5ad7-46e7-bdaf-2e5bda0dc990%2Fgq0mwi_processed.jpeg&w=3840&q=75)
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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