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1. 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?

1. 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
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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1. An integral of the form | f(x)dx 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?
Transcribed Image Text:1. An integral of the form | f(x)dx 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?
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