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 …

Feb 17, 2025 · I think that you have correctly identified a mildly problematic use of language, but can get used to it. The noun phrase "improper integral" written as $$ \int_a^\infty f (x) \, dx $$ …

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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?

Feb 3, 2017 · Evaluate intergal $$ I (\mu, \alpha, \lambda)=\int_ {0}^ {\infty} y^\mu e^ {-\alpha (y+y^ {-1})y^ {\lambda}}dy. $$ It comes from phisics. WolframAlpha gives partial answer $$ I …

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 …

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 16, 2015 · I was asked to find the Maclaurin series of $\\int_0^x\\frac{\\arctan (t)}{t}dt$ Using the known Maclaurin for arctan: $\\arctan(t)=\\sum_{n=1}^{\\infty} \\frac{(-1 ...

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 …

Can a table help me in that? I would be very happy if I knew how to calculate this integral... Then I would be able to calculate Phi (x/5) - Phi (-x/5) = 0.90 and then find x that solve the equation...