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Example 2

Consider the integral

04_integration-459.gif

Let

04_integration-460.gif.

By Theorem 1, we have

04_integration-462.gif

However, the Trapezoidal Rule fails to give an error estimate in this case because f'(x) is discontinuous at x = ±1.
Home Integral Numerical Integration Examples Example 2

Last Update: 2006-11-15