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

Chapter 7, Problem 17

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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.

\(\int_{0}^{4} \ln \left(1\ +\ e^{x}\right) \ d x, \quad n=8\)

Equation Transcription:

  ln(1 + ex) dx,  n = 8

Text Transcription:

integral _0 ^4 ln(1+e^x) dx, n = 8

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.

\(\int_{0}^{4} \ln \left(1\ +\ e^{x}\right) \ d x, \quad n=8\)

Equation Transcription:

  ln(1 + ex) dx,  n = 8

Text Transcription:

integral _0 ^4 ln(1+e^x) dx, n = 8

ANSWER:

Step 1 of 4

a) Interval Width

Find the Required functional values

 

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