{
  "id": "1203.1462",
  "version": "v1",
  "published": "2012-03-07T13:23:34.000Z",
  "updated": "2012-03-07T13:23:34.000Z",
  "title": "A simple proof of the Fundamental Theorem of Calculus for the Lebesgue integral",
  "authors": [
    "Rodrigo López Pouso"
  ],
  "categories": [
    "math.CA"
  ],
  "abstract": "This paper contains a new elementary proof of the Fundamental Theorem of Calculus for the Lebesgue integral. The hardest part of our proof simply concerns the convergence in ${\\rm L}^1$ of a certain sequence of step functions, and we prove it using only basic elements from Lebesgue integration theory.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-03-07T13:23:34.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "fundamental theorem",
      "lebesgue integral",
      "simple proof",
      "lebesgue integration theory",
      "hardest part"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1203.1462L"
    }
  }
}