integration with the trapezoidal method vs integration by the trapezoidal method

Both phrases are correct, but they are used in different contexts. 'Integration with the trapezoidal method' is used when referring to the process of integrating using the trapezoidal method as a tool or technique. On the other hand, 'Integration by the trapezoidal method' is used when describing the specific method or approach used for integration.

Last updated: March 19, 2024 • 574 views

integration with the trapezoidal method

This phrase is correct and commonly used when referring to the process of integrating using the trapezoidal method as a tool or technique.

This phrase is used to describe the act of integrating a function by employing the trapezoidal method as a computational technique.

Show examples from the web [+]

30 Οκτ. 2012 ... ... The calculation of periodogramm and a flow chart for programming it and 2) The numerical integration with the trapezoidal method with a flow ...

Alternatives:

integration using the trapezoidal method
integration through the trapezoidal method
integration via the trapezoidal method
integration employing the trapezoidal method
integration with trapezoidal approximation

integration by the trapezoidal method

This phrase is also correct and commonly used when describing the specific method or approach used for integration.

This phrase is used to specify the trapezoidal method as the technique employed for integration, highlighting the method itself.

Show examples from the web [+]

Laboratory 5 - Integration by the Trapezoidal Method. The goals of this exercise is to give you practice in using either the while loop (Friedman & Koffmann ...
Jan 18, 2013 ... Listing 9.1, Numerical integration by the trapezoidal method. Listing 9.2, An improved trapezoidal method. Listing 9.3, Numerical integration by ...
x dx . 4] Calculate the approximate value of ∫ π. 2/1. 0 sin xdx . 5] Compute an approximate value of the integration by the trapezoidal method ∫ π. 0 sin xdx .
detrending the waveforms prior to integration by the trapezoidal method. The resulting velocity data were filtered with a pass band of 0.25–25Hz. The east= west ...

Alternatives:

integration using the trapezoidal method
integration through the trapezoidal method
integration via the trapezoidal method
integration employing the trapezoidal method
integration with trapezoidal approximation

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integration with the trapezoidal method vs integration by the trapezoidal method