It seems the relationship between $f(x)$ and $dx$ in $$\int f{{\left({x}\right)}}{\left.{d}{x}\right.}$$ is multiplication, since I find many similar examples like this
Anyone can explain why the relationship between $f(x)$ and $dx$ in $\int f{{\left({x}\right)}}{\left.{d}{x}\right.}$ is multiplication? what does $dx$ mean here ?
2026-04-23 20:52:16.1776977536
the relationship between $f(x)$ and $dx$ in $\int f{{\left({x}\right)}}{\left.{d}{x}\right.}$
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The integral in its Riemann-interpretation is the sum of infinitely narrow rectangles with the infinitesimal width $dx$ and height $f(x)$. Their "area" is just $f(x)*dx$.