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\large\bf Project Based Math 112, Fall 2001\\
Comparison of Methods\\
\S 5.9 Activity 1\\[.5in]
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Consider the integral $\int_1^5 \ln x dx$.

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\item Sketch the corresponding area.
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\item Approximate the area using right endpoints with $n=4$.

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\item Approximate the area using left endpoints with $n=4$.

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\item Approximate the area using the Midpoint Rule with $n=4$.

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\item Approximate the area using the Trapezoid Rule with $n=4$.

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\item Approximate the area using Simpson's Rule with $n=4$.

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\item Calculate the actual area.

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\item Which approximation is closest to the actual area?

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\item Which rule gives the best estimate in this case?

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