Math Problem Statement
Homework:HW SECTION 8.8 Question 6, 8.8.60 Part 1 of 2 HW Score: 67.5%, 5.4 of 8 points Points: 0.4 of 1
Skip to Main content Question 1 Question 2 Question 3 Question 4 Question 5 Question 6 Question 7 Question 8 Question content area top Part 1 Approximate the following integral using Simpson's Rule. Experiment with values of n to ensure that the error is less than 10 Superscript negative 3 Integral from 0 to pi ln left parenthesis 6 plus 5 cosine x right parenthesis dxequalspi ln left parenthesis StartFraction 6 plus StartRoot 11 EndRoot Over 2 EndFraction right parenthesis Question content area bottom Part 1 Complete the table below. n Approximation 4 enter your response here 8 enter your response here 16 enter your response here 32 4.8338 (Type integers or decimals rounded to four decimal places as needed.) Integral from 0 to pi ln left parenthesis 26 plus 25 cosine x right parenthesis dxpi ln left parenthesis StartFraction 26 plus StartRoot 51 EndRoot Over 2 EndFraction right parenthesisIntegral from 0 to pi ln left parenthesis 26 plus 25 cosine x right parenthesis dxpi ln left parenthesis StartFraction 26 plus StartRoot 51 EndRoot Over 2 EndFraction right parenthesisIntegral from 0 to pi ln left parenthesis 26 plus 25 cosine x right parenthesis dxpi ln left parenthesis StartFraction 26 plus StartRoot 51 EndRoot Over 2 EndFraction right parenthesisIntegral from 0 to pi ln left parenthesis 26 plus 25 cosine x right parenthesis dxpi ln left parenthesis StartFraction 26 plus StartRoot 51 EndRoot Over 2 EndFraction right parenthesisnIntegral from 0 to pi ln left parenthesis 6 plus 5 cosine x right parenthesis dxpi ln left parenthesis StartFraction 6 plus StartRoot 11 EndRoot Over 2 EndFraction right parenthesisIntegral from 0 to pi ln left parenthesis 6 plus 5 cosine x right parenthesis dxpi ln left parenthesis StartFraction 6 plus StartRoot 11 EndRoot Over 2 EndFraction right parenthesisIntegral from 0 to pi ln left parenthesis 6 plus 5 cosine x right parenthesis dxpi ln left parenthesis StartFraction 6 plus StartRoot 11 EndRoot Over 2 EndFraction right parenthesisIntegral from 0 to pi ln left parenthesis 6 plus 5 cosine x right parenthesis dxpi ln left parenthesis StartFraction 6 plus StartRoot 11 EndRoot Over 2 EndFraction right parenthesis Get more help
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Math Problem Analysis
Mathematical Concepts
Numerical Integration
Simpson's Rule
Integral Approximation
Formulas
Simpson's Rule: (Δx/3) * [f(x0) + 4Σ f(x_odd) + 2Σ f(x_even) + f(xn)]
Δx = (b - a) / n
Theorems
Simpson's Rule Theorem
Suitable Grade Level
College Level
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