I like this view of the integral (and generally regard this site as helpful to build intuitions). https://betterexplained.com/articles/a-calculus-analogy-integ

I like this view of the integral (and generally regard this site as helpful to build intuitions). https://betterexplained.com/articles/a-calculus-analogy-integrals-as-multiplication/ https://betterexplained.com/articles/a-calculus-analogy-inte...