Use the Midpoint Rule With $n = 4$ To Approximate $\pi$ Where $\pi = \int _ { 0 } ^ { 1 } \frac { 4 } { 1 + x ^ { 2 } } d x$

question 8

Multiple Choice

Use the Midpoint Rule with $n = 4$ to approximate $\pi$ where $\pi = \int _ { 0 } ^ { 1 } \frac { 4 } { 1 + x ^ { 2 } } d x$ . Then use a graphing utility to evaluate the definite integral. Compare your results.

• A)a. Midpoint Rule: \(\approx 0.146801\) b. Graphing utility: \(\approx 3.141593\)
• B)a. Midpoint Rule: \(\approx 3.146801\) b. Graphing utility: \(\approx 0.141593\)
• C)a. Midpoint Rule: \(\approx 1.146801\) b. Graphing utility: \(\approx 3.141593\)
• D)a. Midpoint Rule: \(\approx 3.146801\) b. Graphing utility: \(\approx 3.141593\)
• E)a. Midpoint Rule: \(\approx 3.146801\) b. Graphing utility: \(\approx 1.141593\)

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