Solution Found!
Derive Simpsons rule with error term by using x2 x0 f (x) dx = a0f (x0) + a1f (x1) + a2f
Chapter 4, Problem 24(choose chapter or problem)
QUESTION:
Derive Simpsons rule with error term by using x2 x0 f (x) dx = a0f (x0) + a1f (x1) + a2f (x2) + kf (4) ( ). Find a0, a1, and a2 from the fact that Simpsons rule is exact for f (x) = xn when n = 1, 2, and 3. Then find k by applying the integration formula with f (x) = x4.
Questions & Answers
QUESTION:
Derive Simpsons rule with error term by using x2 x0 f (x) dx = a0f (x0) + a1f (x1) + a2f (x2) + kf (4) ( ). Find a0, a1, and a2 from the fact that Simpsons rule is exact for f (x) = xn when n = 1, 2, and 3. Then find k by applying the integration formula with f (x) = x4.
ANSWER:Step 1 of 6
Given:- The integration equation is: .