An integral of the form f(x)dr was computed by two students using trapezoidal rule with end point corrections involving only the first derivative. The first student reported the value as 0.8 using a grid spacing of h, while the second student reported the value as 0.75 using a grid spacing of h/2. A smart, lazy student from NMSC class enters their discussion and gives a better answer of the integral with a higher order of accuracy by processing the information above. How did he do it? What was his answer? What is the order of accuracy of his answer?

An integral of the form f(x)dr was computed by two students using trapezoidal rule with end point corrections involving only the first derivative. The first student reported the value as 0.8 using a grid spacing of h, while the second student reported the value as 0.75 using a grid spacing of h/2. A smart, lazy student from NMSC class enters their discussion and gives a better answer of the integral with a higher order of accuracy by processing the information above. How did he do it? What was his answer? What is the order of accuracy of his answer?

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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