Solution Found!
?Use (a) the Trapezoidal Rule, (b) the Midpoint Rule, and (c) Simpson’s Rule to
Chapter 7, Problem 8(choose chapter or problem)
Use (a) the Trapezoidal Rule, (b) the Midpoint Rule, and (c) Simpson’s Rule to approximate the given integral with the specified value of n.
\(\int_{1}^{4} \sin \sqrt{x} \ d x, \quad n=6\)
Equation Transcription:
∫ sin dx, n = 6
Text Transcription:
integral _1 ^4 sin sqrt x dx, n = 6
Questions & Answers
QUESTION:
Use (a) the Trapezoidal Rule, (b) the Midpoint Rule, and (c) Simpson’s Rule to approximate the given integral with the specified value of n.
\(\int_{1}^{4} \sin \sqrt{x} \ d x, \quad n=6\)
Equation Transcription:
∫ sin dx, n = 6
Text Transcription:
integral _1 ^4 sin sqrt x dx, n = 6
ANSWER:
Step 1 of 3
(a) Trapezoid Rule
If is divided into subintervals, each of length , with endpoints at , then
Find the width of the intervals
Calculate the values at the interval boundaries.
Write out the Trapezoid Rule for terms and fill in the numbers from the table.