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Learning and Calculation

Numerical Definite Integral

Calculate the approximate definite integral of the smooth real function on the limited interval, and display the number of adaptive subdivisions and error estimation.

Numerical Definite Integral User manual

  1. Fill in the parameters or select the file according to the form, and check the unit and format first.
  2. Enter sin(x), the lower limit is 0, the upper limit is 3.141592653589793, and the result is close to 2; the upper and lower limit results are changed.
  3. Click the processing button to view the results, you can copy or download and save.

Calculation method and processing rules

Using the adaptive Simpson formula, compare the local two-level grid difference with absolute tolerance, stop and prompt when the resource upper limit is reached.

scope of use

Abnormal integrals are not supported; narrow peaks and fast oscillations may miss sampling, and the error estimation is not strictly upper bounds, and should be reviewed in sections according to function characteristics.

Will the input content be saved on the server?

This tool handles input in the browser, and does not upload files or form content. Typing practice scores are only saved in the native browser.

Why may the result be different from other tools?

Abnormal integrals are not supported; narrow peaks and fast oscillations may miss sampling, and the error estimation is not strictly upper bounds, and should be reviewed in sections according to function characteristics. Please compare the input unit, rounding method, applicable rules and data version first.