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Results tagged with integration
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user 5506
Questions related to various forms of integration including the Riemann integral, Lebesgue integral, Riemann–Stieltjes integral, double integrals, line integrals, contour integrals, surface integrals, integrals of differential forms, ...
7
votes
Why is differentiating mechanics and integration art?
I want to concentrate on differentiation and integration as symbolic operations. … It remains then the question:
Question: How small can $E$ be such that integration is harder than derivation? …
- 807
2
votes
The Fundamental Theorem of Calculus in Lebesgue Theory
For every function $f$ with $f'$ integrable there is a function $g$ equal to $f$ everywhere but a point such that $\int_{a}^{b}g'dx=g(b)-g(a)$. Take $g(x)=f(x)$ for $x$ different from $b$ and $g(b)=\i …
- 807