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intégration généralisée.md
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intégration généralisée.md
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---
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alias: [ "intégrale généralisée", "intégrale impropre" ]
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---
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up::[[intégration]]
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#maths/analyse
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----
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Soit $]a; b]$ (resp. $[a; b[$) un intervalle de $\overline{\mathbb{R}}$
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On dit que $f$ est _intégrable sur $]a; b]$ (resp. $[a; b[$)_ si la limite :
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$\displaystyle\lim\limits_{ \xi \to a }\int_{\xi}^{b}f(x) \, dx$
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> [!smallquery] Sous-notes de `=this.file.link`
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> ```dataview
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> TABLE title
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> FROM -#cours AND -#exercice AND -"daily" AND -#excalidraw AND -#MOC AND -#demonstration
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> WHERE any(map([up, up.up, up.up.up, up.up.up.up], (x) => econtains(x, this.file.link)))
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> WHERE file != this.file
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> SORT up.up.up.up, up.up.up, up.up, up
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> ```
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