How this calculation works
Bound the error of the composite Simpson rule with an even number of subintervals.
THE FORMULA
|E|≤M(b−a)⁵/(180n⁴)A worked example
Length 2, M=24 and four subintervals give a bound of 1/60.
Good to know
Use a valid bound on the fourth derivative.
Reference: OpenStax Calculus Volume 3 (opens in a new tab) ↗
Read the result
Bound the error of the composite Simpson rule with an even number of subintervals.
The primary result is labeled “Absolute error bound”. Keep the input definitions in view when comparing this result with another method.
Try a related calculation
Use a valid bound on the fourth derivative.
For a related exercise, try the quadratic equation solver.
A few questions, answered
How can I check the default inputs by hand?
Length 2, M=24 and four subintervals give a bound of 1/60.
Which rule does this calculator apply?
|E|≤M(b−a)⁵/(180n⁴)