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

Question 172

Short Answer

Estimate ∫131x2dx\int _ { 1 } ^ { 3 } \frac { 1 } { x ^ { 2 } } d x using the Midpoint Rule with n = 4. Then use the error bound ∣EM∣≤k(b−a)324n2\left| E _ { M } \right| \leq \frac { k ( b - a ) ^ { 3 } } { 24 n ^ { 2 } } to estimate the accuracy.

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