?Use (a) the Trapezoidal Rule, (b) the Midpoint Rule, and (c) Simpson’s Rule to

Chapter 7, Problem 11

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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.

\(\int_{-1}^{2} \ e^{x\ +\ \cos x} \ d x, \quad n=6\)

Equation Transcription:

 , n = 6

Text Transcription:

integral _-1 ^2 e^x+cos 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.

\(\int_{-1}^{2} \ e^{x\ +\ \cos x} \ d x, \quad n=6\)

Equation Transcription:

 , n = 6

Text Transcription:

integral _-1 ^2 e^x+cos x dx, n=6

ANSWER:

Step 1 of 4

(a) Trapezoid Rule

If  is divided into  subintervals, each of length , with endpoints at , then

Find the width of the intervals:

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