Solution Found!
?Use (a) the Trapezoidal Rule, (b) the Midpoint Rule, and (c) Simpson’s Rule to
Chapter 7, Problem 7(choose chapter or problem)
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.
\(\int_{0}^{1} \sqrt{1+x^{3}} \ d x\), \(n=4\)
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.
\(\int_{0}^{1} \sqrt{1+x^{3}} \ d x\), \(n=4\)
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 boundarics.
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Write out the Trapezoid Rule for terms and fill in the numbers from the table.