The absolute value sign is not necessary. I mean, when we take an integral and want it to be meaningful, we usually take definite integral, not indefinite integral. For $1/x$, the definite …

Oct 31, 2020 · Your guess was right, but the quoted example is especially idiosyncratic because it says "unit". In normal use, integral length would be equal to some integer, while unit length …

Feb 10, 2013 · Title says it all (I think). I'm betting it's something to do with Standard Integrals though. What is this symbol "$\\int$" called?

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I'm getting a couple of different answers from different sources, so I'd like to verify something. I misplaced my original notes from my prof, but working from memory I have the following: …

Feb 4, 2018 · Link There are two types of integrals at play here. Definite integrals are the ones that describe the actual area under a curve. Indefinite integrals are the ones that describe the …

Aug 20, 2014 · The words "An integral" represent a noun -- defined as the area under a curve (or, when you get more advanced, some other sort of limit of sums). The word "integrate" is a verb; …

Oct 1, 2021 · Satisfactory explanation of infinitesimals were given in non Standard analysis by Abraham Robinson. A new number system called hyperreal number system was introduced by …

May 29, 2018 · I tried searching for how you derive the integral/primitive of $\arctan (x)$, but I can't find any question on S.E with an answer that clearly explains this. I feel that there should …

Jul 19, 2014 · Whenever I take a definite integral in aim to calculate the area bound between two functions, what is the meaning of a negative result? Does it simly mean that the said area is …