Determine M for Simpson's rule error bound: 2 e x </msup> + x 3 <

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affizupdaftf3opg

Answered question

2022-04-12

Determine M for Simpson's rule error bound: 2 e x + x 3 where a = 0 and b = 1.6.

Answer & Explanation

Holden Rosario

Holden Rosario

Beginner2022-04-13Added 14 answers

Anyway, the Simpson rule error estimate says that if n is even and you use n + 1 evaluation points, then the error in the integration is at most
max x [ a , b ] | f ( x ) | 180 n 4 ( b a ) 5 .
In your case, f ( x ) is very simple, it is just 2 e x . This is increasing, so its maximum occurs at the right endpoint.

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