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Results tagged with integration
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user 26031
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, ...
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Counterexamples to differentiation under integral sign?
Then provided $\frac{\partial}{\partial s}f(s,y)$ is integrable in some rectangle $[x,x'] \times \Omega$, we can apply Fubini and switch the order of integration,
$= \frac{d}{dx}\int_a^x \int \frac{\partial … Thus altogether the assumptions I need in order to switch integration order are
1) f is absolutely continuous in the x-direction
2) df/da is integrable in a rectangle where one side is a small interval …
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