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"estimate of the integral" vs "estimation of the integral"

Both 'estimate of the integral' and 'estimation of the integral' are correct phrases, but they are used in slightly different contexts. 'Estimate of the integral' is more commonly used when referring to a specific calculated value, while 'estimation of the integral' is used when discussing the process or act of estimating the integral.

Last Updated: March 19, 2024

estimate of the integral

This phrase is correct and commonly used when referring to a specific calculated value for the integral.

This phrase is used when you have a specific numerical value that represents an estimation of the integral of a function.

Examples:

  • The estimate of the integral of the function f(x) is 25.
  • We obtained an estimate of the integral using numerical methods.

Alternatives:

  • approximation of the integral
  • calculation of the integral

estimation of the integral

This phrase is correct and commonly used when discussing the process or act of estimating the integral.

This phrase is used when talking about the general process of estimating the integral of a function, without referring to a specific numerical value.

Examples:

  • The estimation of the integral involves using numerical methods.
  • We need to improve our estimation of the integral for better accuracy.

Alternatives:

  • estimating the integral
  • evaluation of the integral

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