Integral value is not constant when shifting a function

Alfonso Gambuzza shared this problem 7 months ago
New

Hi,

I'm just playing a little bit with GeoGebra focusing on the integral function.

The example (see attachment) consist of a function f(x)=exp(-(m-x)²/p) and the computation of its integral while the function is shifted along the x-axis by varring the m parameter.

I was supprised that the integral do not remain constant along the path. On many Positions it is 0. 5fb371bd1d3f82aa06512b9ca0512d0e


Please use the attached file to reproduce the error.

Comments (2)

photo
1

It is normal because the maxi of f(x) is 1. f(x)=exp(-m-x)2/p) rise its maxima when x=-m and exp(-m-m) = exp(0)=1 !!

Then when you update parameters m or p the maxima of f(x) don't vary on y, and f(x) may changes size to width only.

photo
1

See your ggb

© 2020 International GeoGebra Institute