Jan 20, 2021 · 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 1 x, …

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 …

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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?

Jul 11, 2023 · On this regard, I noticed you put (x-1) to the first root in the intergal. Is it to show me that the term "a" in A,k and φ refers only to the lower integration extreme?

May 29, 2018 · The integral can be solved by using integration by parts. The trick is to think of the function as a product of arctan(x) arctan (x) and 1 1, both with respect to x x. We solve the …

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 …

Feb 17, 2025 · ": It's a limit, which is just a real number (given that the limit exists). So an improper integral is a limit which is a number. Does it make sense to talk about a number …

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 …

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