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- What is the integral of 1 x? - Mathematics Stack Exchange
Answers to the question of the integral of $\frac {1} {x}$ are all based on an implicit assumption that the upper and lower limits of the integral are both positive real numbers
- Can the integral closure of a ring be taken intrinsically?
However, one "intrinsic integral closure" that is often used is the normalization, which in the case on an integral domain is the integral closure in its field of fractions It's the maximal integral extension with the same fraction field as the original domain
- What is an integral? - Mathematics Stack Exchange
A different type of integral, if you want to call it an integral, is a "path integral" These are actually defined by a "normal" integral (such as a Riemann integral), but path integrals do not seek to find the area under a curve I think of them as finding a weighted, total displacement along a curve
- calculus - Evaluate an integral involving a series and product in the . . .
Evaluate an integral involving a series and product in the denominator Ask Question Asked 1 month ago Modified 1 month ago
- What is an Integral Domain? - Mathematics Stack Exchange
5 An integral domain is a ring with no zero divisors, i e $\rm\ xy = 0\ \Rightarrow\ x=0\ \ or\ \ y=0\: \:$ Additionally it is a widespread convention to disallow as a domain the trivial one-element ring (or, equivalently, the ring with $\: 1 = 0\:$) It is the nonexistence of zero-divisors that is the important hypothesis in the definition
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