![]() To illuſtrate this, I will ſtart uſing it. ![]() The long S was used at the beginning and the middle of a word. There was a long S, written as ſ (basically an f without the cross-stroke), and there was a terminal S, written as s. ![]() Because of this, it would make sense to use an S as the symbol for integration- S for sum, just like Σ (a Greek S) is used for summation.īack in the day (over a century ago), English (and other languages) used two forms of a lowercase S. When this symbol is used for an indefinite integral, one could almost say that an antiderivative is being written in the form of an integral.Ī definite integral basically finds the sum of an infinite number of parts (learn about that in the next section). This symbol is more specific to integrals. The integral sign, ∫ has a bit more of a story for it. This really cannot be used for anything other than indefinite integrals (which is what antiderivatives are). The letters here should also be italicized, but Khan Academy does weird things with the formatting if I were to try to do that.Īnyways, the antiderivative of f(x) is often written as F(x). Generally, the lowercase letter is used for functions e.g.: f(x). Well, there are two ways of representing the antiderivative.
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