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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
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
An integral that Wolfram Alpha can compute, but I want to know the . . . The integral is $$\int_0^ {\infty}\frac {e^ {-\frac {1+4y^2} {4y}}} {\sqrt {4\pi y}}dy$$ which Wolfram Alpha computes to $\frac 1 {2e}$ I would like to know the steps I noticed the integral is closely connected to the heat kernel for flat Euclidean space, but I do not know how I can attack the integral
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 does the dx mean in an integral? [duplicate] I know dy dx for example means "derivative of y with respect to x," but there's another context that confuses me You will generally just see a dx term sitting at the end of an integral equation an