How this calculation works
Bound the error of the equal-width composite trapezoidal rule.
THE FORMULA
|E|≤M(b−a)³/(12n²)A worked example
An interval of length 2, M=6 and four panels give a bound of 0.25.
Good to know
Supply a valid upper bound on |f″| over the entire interval.
Reference: OpenStax Calculus Volume 3 (opens in a new tab) ↗
Read the result
Bound the error of the equal-width composite trapezoidal rule.
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
Supply a valid upper bound on |f″| over the entire interval.
For a related exercise, try the quadratic equation solver.
A few questions, answered
How can I check the default inputs by hand?
An interval of length 2, M=6 and four panels give a bound of 0.25.
Which rule does this calculator apply?
|E|≤M(b−a)³/(12n²)