Solution Found!
?Use (a) the Midpoint Rule and (b) Simpson’s Rule to approximate the given integral with
Chapter 7, Problem 5(choose chapter or problem)
Use (a) the Midpoint Rule and (b) Simpson’s Rule to approximate the given integral with the specified value of n. Compare your results to the actual value to determine the error in each approximation.
\(\int_{0}^{\pi} x \sin x \ d x, \quad n=6\)
Equation Transcription:
∫ x sin x dx, n = 6
Text Transcription:
integral _0 ^pi x sin x dx, n = 6
Questions & Answers
QUESTION:
Use (a) the Midpoint Rule and (b) Simpson’s Rule to approximate the given integral with the specified value of n. Compare your results to the actual value to determine the error in each approximation.
\(\int_{0}^{\pi} x \sin x \ d x, \quad n=6\)
Equation Transcription:
∫ x sin x dx, n = 6
Text Transcription:
integral _0 ^pi x sin x dx, n = 6
ANSWER:Step 1 of 6
Midpoint Rule
If is divided into subintervals, each of length , and is the midpoint of the ith subinterval, then
Find the width of the intervals: