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Results tagged with integration
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user 5963
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, ...
10
votes
Accepted
"sinc-ing" integral
Let $s(x) = \frac{\sin(\pi x)}{\pi x}$ be the normalized sinc function, $a_j' = \frac{a_j}{\pi}$ and $c = \frac{b+\sum_j a_j}{\pi}$. Then you want to compute $\pi\int_{-\infty}^\infty c s(cx)\prod_j …
- 8,501
10
votes
The Fundamental Theorem of Calculus in Lebesgue Theory
As I recall Chapter 7 of Rudin's Real and Complex Analysis has a good presentation of the Fundamental Theorem of Calculus in the context of Lebesgue integration. …
- 8,501