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Estimate 131x2dx\int _ { 1 } ^ { 3 } \frac { 1 } { x ^ { 2 } } d x

question 159

Short Answer

Estimate 131x2dx\int _ { 1 } ^ { 3 } \frac { 1 } { x ^ { 2 } } d x using Simpson's Rule with n = 4. Then use the error bound ESk(ba)5180n4\left| E _ { S } \right| \leq \frac { k ( b - a ) ^ { 5 } } { 180 n ^ { 4 } } to estimate the accuracy.

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