MATLAB The integration block in matlab

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The discussion centers on the integration block in Simulink and its representation as 1/s. This symbol arises from the Laplace transform, where the integral of a function in the time domain corresponds to multiplication by 1/s in the s-domain. The Laplace transform of the integral from 0 to t of a function f(τ) is expressed as (1/s)F(s), where F(s) is the Laplace transform of f(t). Additionally, a user inquires about how to include mathematical formulas in forum posts, with a reference provided to a specific thread that addresses this topic.
pixel01
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I am new to matlab. There's a small thing that I am not aware of: why the integration block in simulink has the symbol as 1/s?
thanks for reading.
 
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The Laplace transform of \int_0^t f(\tau) d\tau is equal to \frac{1}{s} F(s), where F(s) is the Laplace transform of f(t). Thus integration in the time domain is equal to multiplication by \frac{1}{s} in the s-domain.
 
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Thank you las3riock. It's clear now.

(Another small question: how can you paste the formulas in the pages here? )
 

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