{"id":66121,"date":"2024-06-05T13:33:59","date_gmt":"2024-06-05T13:33:59","guid":{"rendered":"https:\/\/science-hub.click\/%E4%B8%8D%E5%AE%9A%E7%A9%8D%E5%88%86-%E5%AE%9A%E7%BE%A9\/"},"modified":"2024-06-05T13:33:59","modified_gmt":"2024-06-05T13:33:59","slug":"%E4%B8%8D%E5%AE%9A%E7%A9%8D%E5%88%86-%E5%AE%9A%E7%BE%A9","status":"publish","type":"post","link":"https:\/\/science-hub.click\/?p=66121","title":{"rendered":"\u4e0d\u5b9a\u7a4d\u5206 &#8211; \u5b9a\u7fa9"},"content":{"rendered":"<div><div><h2>\u5c0e\u5165<\/h2><p>\u5b9f\u6570\u89e3\u6790\u307e\u305f\u306f\u8907\u7d20\u89e3\u6790\u3067\u306f\u3001\u533a\u9593 I \u3067\u7a4d\u5206\u53ef\u80fd\u306a\u95a2\u6570<i>f<\/i>\u306e\u4e0d\u5b9a\u7a4d\u5206\u306f\u3001I \u4e0a\u3067\u6b21\u306e\u3088\u3046\u306b\u5b9a\u7fa9\u3055\u308c\u308b\u95a2\u6570\u3067\u3059\u3002 <\/p><dl><dd><div class=\"math-formual notranslate\">$$ {F(x)=\\int_a^xf(t)dt + K} $$<\/div><\/dd><\/dl><p>\u3053\u3053\u3067\u3001a \u306f I \u306e\u8981\u7d20\u3001K \u306f\u5b9a\u6570\u3067\u3059<\/p><p><i>f \u304c<\/i>\u9023\u7d9a\u95a2\u6570\u306e\u5834\u5408\u3001 F \u306f<i>f<\/i>\u306e\u9006\u5c0e\u95a2\u6570\u3067\u3059\u3002\u3064\u307e\u308a\u3001 F \u306e<span><a href=\"https:\/\/science-hub.click\/?p=14016\">\u5c0e\u95a2\u6570<\/a><\/span>\u306f<i>f<\/i> (F&#8217; = <i>f<\/i> ) \u3092\u4e0e\u3048\u307e\u3059\u3002\u6b21\u306b\u3001\u6b21\u306e\u5f62\u5f0f\u306e<i>f<\/i>\u306e\u30d7\u30ea\u30df\u30c6\u30a3\u30d6\u306b\u6ce8\u76ee\u3059\u308b\u7fd2\u6163\u3092\u8eab\u306b\u3064\u3051\u307e\u3059\u3002 <\/p><dl><dd><div class=\"math-formual notranslate\">$$ { F = \\int f(x)dx} $$<\/div><\/dd><\/dl><p><span><a href=\"https:\/\/science-hub.click\/?p=66121\">\u4e0d\u5b9a\u7a4d\u5206<\/a><\/span>\u3068\u539f\u59cb\u7a4d\u5206\u3092\u6df7\u540c\u3059\u308b<\/p><p><i>f<\/i>\u304c\u9023\u7d9a\u3067\u306a\u3044\u5834\u5408\u3001\u4e0d\u5b9a\u7a4d\u5206\u3068\u539f\u59cb<span><a href=\"https:\/\/science-hub.click\/?p=8542\">\u7a4d\u5206<\/a><\/span>\u306e\u9593\u306b\u5358\u7d14\u306a<span><a href=\"https:\/\/science-hub.click\/?p=1290\">\u5bfe\u5fdc\u95a2\u4fc2<\/a><\/span>\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/p><figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\"\u4e0d\u5b9a\u7a4d\u5206 - \u5b9a\u7fa9\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/V9i_zlbssbs\/0.jpg\" style=\"width:100%;\"\/><\/figure><h2>\u9023\u7d9a\u95a2\u6570\u306e\u5834\u5408<\/h2><p>\u533a\u9593 I \u4e0a\u306e\u4efb\u610f\u306e\u9023\u7d9a\u95a2\u6570\u306f\u3001I \u306b\u542b\u307e\u308c\u308b<span><a href=\"https:\/\/science-hub.click\/?p=95765\">\u4efb\u610f\u306e<\/a><\/span>\u9589\u533a\u9593\u4e0a\u3067\u7a4d\u5206\u53ef\u80fd\u3067\u3059\u3002\u89e3\u6790\u306e\u57fa\u672c<span>\u5b9a\u7406<\/span>\u3067\u306f\u3001I \u306e\u3059\u3079\u3066\u306e\u5b9f\u6570<i>a<\/i>\u306b\u5bfe\u3057\u3066\u3001I \u4e0a\u3067\u5b9a\u7fa9\u3055\u308c\u308b\u95a2\u6570\u306f\u6b21\u306e\u3088\u3046\u306b\u5b9a\u7fa9\u3055\u308c\u307e\u3059\u3002 <\/p><dl><dd><div class=\"math-formual notranslate\">$$ {F(x)=\\int_a^xf(t)dt} $$<\/div><\/dd><\/dl><p>\u306f<i>a<\/i>\u3067\u6d88\u3048\u308b<i>f<\/i>\u306e\u9006\u5fae\u5206\u3067\u3059\u3002<\/p><p>\u3057\u305f\u304c\u3063\u3066\u3001 <i>f<\/i>\u306e\u539f\u59cb\u95a2\u6570\u306f\u4e0d\u5b9a\u7a4d\u5206\u3067\u3059\u3002 <\/p><dl><dd><div class=\"math-formual notranslate\">$$ { F(x)=\\int_a^xf(t)dt + K} $$<\/div><\/dd><\/dl><p>\u5b9a\u6570 K \u306f\u3001 <i>f<\/i>\u306e\u53ef\u80fd\u306a<span><a href=\"https:\/\/science-hub.click\/?p=57227\">\u3059\u3079\u3066\u306e<\/a><\/span>\u30d7\u30ea\u30df\u30c6\u30a3\u30d6\u3092\u30ab\u30d0\u30fc\u3059\u308b\u305f\u3081\u306b\u5fc5\u8981\u3067\u3059\u3002<\/p><h2>\u975e\u9023\u7d9a\u95a2\u6570\u306e\u5834\u5408<\/h2><p>4\u4e16\u7d00\u306b\u308f\u305f\u308a\u3001\u30c8\u30ea\u30c1\u30a7\u30ea\u304b\u3089\u30e9\u30a4\u30d7\u30cb\u30c3\u30c4\u3001\u30aa\u30a4\u30e9\u30fc\u3001\u30b3\u30fc\u30b7\u30fc\u3001\u30ea\u30fc\u30de\u30f3\u3001\u30eb\u30d9\u30fc\u30b0\u3001\u30c7\u30f3\u30b8\u30e7\u30a4\u3001\u30da\u30ed\u30f3\u3092\u7d4c\u3066<span title=\"\u30e4\u30ed\u30b9\u30e9\u30d5\u30fb\u30af\u30eb\u30c4\u30ef\u30a4\u30eb (\u30da\u30fc\u30b8\u306f\u5b58\u5728\u3057\u307e\u305b\u3093)\">\u30e4\u30ed\u30b9\u30e9\u30d5\u30fb\u30af\u30eb\u30c4\u30ef\u30a4\u30eb<\/span>\u3001\u30e9\u30eb\u30d5\u30fb<span title=\"\u30e9\u30eb\u30d5\u30fb\u30d8\u30f3\u30b9\u30c8\u30c3\u30af (\u30da\u30fc\u30b8\u306f\u5b58\u5728\u3057\u307e\u305b\u3093)\">\u30d8\u30f3\u30b7\u30e5\u30c8\u30c3\u30af<\/span>\u306b\u81f3\u308b\u307e\u3067\u306e\u6570\u5b66\u8005\u306f\u3001\u4e00\u65b9\u3067\u306f\u7a4d\u5206\u3001\u4ed6\u65b9\u3067\u306f\u539f\u59cb\u3068\u306e\u9593\u306b\u5f37\u3044\u3064\u306a\u304c\u308a\u3092\u63a2\u305d\u3046\u3068\u52aa\u529b\u3057\u3066\u304d\u307e\u3057\u305f\u3002 \u3002\u4f5c\u696d\u304c\u9023\u7d9a\u95a2\u6570\u3067\u5b9f\u884c\u3055\u308c\u308b\u9650\u308a\u3001\u95a2\u4fc2\u306f\u5358\u7d14\u3067\u3042\u308a\u3001\u8a3c\u660e\u3092\u63d0\u4f9b\u3059\u308b\u306e\u306f\u30b3\u30fc\u30b7\u30fc\u3067\u3059 (1823 \u5e74\u306b\u738b\u7acb\u5de5\u79d1\u5927\u5b66\u3067<span><a href=\"https:\/\/science-hub.click\/?p=25552\">\u884c\u308f\u308c\u305f<\/a><\/span><span>\u7121\u9650\u5c0f\u5fae\u7a4d\u5206<\/span>\u306b\u95a2\u3059\u308b\u6388\u696d\u306e\u6982\u8981\u306e 26 \u756a\u76ee\u306e<span><a href=\"https:\/\/science-hub.click\/?p=77423\">\u30ec\u30c3\u30b9\u30f3<\/a><\/span>)\u3002\u3053\u306e\u7d50\u679c\u304c\u78ba\u7acb\u3055\u308c\u305f\u305f\u3081\u3001\u7814\u7a76\u306f\u975e\u9023\u7d9a\u95a2\u6570\u306e\u5834\u5408\u306b\u7126\u70b9\u3092\u5f53\u3066\u3066\u3044\u307e\u3059\u3002\u30ea\u30fc\u30de\u30f3\u3001\u6b21\u306b\u30eb\u30d9\u30fc\u30b0\u3001\u30ab\u30fc\u30c4\u30ef\u30a4\u30eb\u3001\u30d8\u30f3\u30b9\u30c8\u30c3\u30af\u306f\u3001\u4e0d\u5b9a\u7a4d\u5206\u3068\u539f\u59cb\u7a4d\u5206\u306e\u9593\u306e\u95a2\u4fc2\u3092\u5e83\u3052\u308b\u3053\u3068\u3092\u53ef\u80fd\u306b\u3059\u308b\u7a4d\u5206\u53ef\u80fd\u6027\u306e\u5b9a\u7fa9\u3092\u63d0\u793a\u3057\u3088\u3046\u3068\u52aa\u3081\u3066\u3044\u307e\u3059\u3002<\/p><figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\"\u4e0d\u5b9a\u7a4d\u5206 - \u5b9a\u7fa9\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/xtvOXszix6A\/0.jpg\" style=\"width:100%;\"\/><\/figure><h3><span>\u30ea\u30fc\u30de\u30f3\u53ef\u7a4d\u5206\u95a2\u6570\u306e\u4e0d\u5b9a\u7a4d\u5206<\/span><\/h3><p>\u53ef\u7a4d\u5206\u30ea\u30fc\u30de\u30f3\u95a2\u6570\u306e\u4e0d\u5b9a\u7a4d\u5206\u306f\u5e38\u306b\u9023\u7d9a\u3067\u3059\u3002\u307e\u305f\u3001\u521d\u671f\u95a2\u6570\u304c\u9023\u7d9a\u3067\u3042\u308b\u4efb\u610f\u306e<span><a href=\"https:\/\/science-hub.click\/?p=43578\">\u70b9<\/a><\/span>\u3067\u5fae\u5206\u53ef\u80fd\u3067\u3059\u3002\u3053\u306e\u7d50\u679c\u306f\u30011875 \u5e74\u306b Darboux \u3068 du Bois Reymond \u306b\u3088\u3063\u3066\u5b9f\u8a3c\u3055\u308c\u307e\u3057\u305f\u3002\u3057\u304b\u3057\u3001\u4e0d\u5b9a\u7a4d\u5206\u3068\u539f\u59cb\u7a4d\u5206\u306e\u95a2\u4fc2\u306f\u3088\u308a\u7de9\u3084\u304b\u306b\u306a\u308a\u307e\u3059\u3002\u3053\u3046\u3057\u3066\u79c1\u305f\u3061\u306f\u906d\u9047\u3057\u307e\u3059<\/p><ul><li>\u4e0d\u5b9a\u7a4d\u5206\u306f\u3001<span>\u6574\u6570\u90e8\u5206<\/span>\u95a2\u6570\u306e\u3088\u3046\u306b\u3044\u304f\u3064\u304b\u306e\u70b9\u3067\u5fae\u5206\u53ef\u80fd\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/li><li>\u4e0d\u5b9a\u7a4d\u5206\u306f\u5fae\u5206\u53ef\u80fd<div class=\"math-formual notranslate\">$$ {\\scriptstyle \\R} $$<\/div>\u3057\u304b\u3057\u3001\u305d\u306e\u5c0e\u95a2\u6570\u306f\u3059\u3079\u3066\u306e\u70b9\u3067 f \u3068\u4e00\u81f4\u3057\u307e\u305b\u3093\u3002\u305f\u3068\u3048\u3070\u3001\u95a2\u6570\u306e\u4fa1\u5024\u304c 2 \u3067\u3042\u308b<span><i>x<\/i> <sub>0<\/sub><\/span>\u3092\u9664\u3044\u3066 1 \u306b\u7b49\u3057\u3044\u5b9a\u6570\u95a2\u6570\u3092\u8003\u3048\u308b\u3060\u3051\u3067\u5341\u5206\u3067\u3059\u3002\u305d\u306e\u4e0d\u5b9a\u7a4d\u5206\u306b\u306f\u5f0f F(x)= x + K \u304c\u3042\u308a\u3001 <span><i>x<\/i> <sub>0<\/sub><\/span>\u3067\u306e F \u306e\u5c0e\u95a2\u6570\u306f 1 \u306e\u4fa1\u5024\u304c\u3042\u308a\u307e\u3059\u3002<\/li><li>\u5bc6\u96c6\u5408\u4e0a\u3067\u5fae\u5206\u4e0d\u53ef\u80fd\u306a\u307e\u307e\u306e\u4e0d\u5b9a\u7a4d\u5206\u3002<\/li><li> [0,1] \u3067\u5fae\u5206\u53ef\u80fd\u306a\u4e0d\u5b9a\u7a4d\u5206\u3002\u305d\u306e\u5c0e\u95a2\u6570\u306f\u5bc6\u96c6\u5408\u4e0a\u306e<i>f<\/i>\u3068\u4e00\u81f4\u3057\u307e\u305b\u3093\u3002<\/li><li>\u95a2\u6570 F\u3001\u3044\u304f\u3064\u304b\u306e\u70b9\u3092\u9664\u3044\u3066\u5fae\u5206\u53ef\u80fd\u3067\u3059\u304c\u3001\u5c0e\u95a2\u6570\u306e\u4e0d\u5b9a\u7a4d\u5206\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002\u305f\u3068\u3048\u3070\u3001\u6574\u6570\u90e8\u5206\u3002<\/li><li>\u95a2\u6570 F\u3001\u5fae\u5206\u53ef\u80fd<div class=\"math-formual notranslate\">$$ {\\scriptstyle \\R} $$<\/div>\u3067\u3059\u304c\u3001\u305d\u306e\u5c0e\u95a2\u6570<i>f \u306f<\/i>\u30ea\u30fc\u30de\u30f3\u7a4d\u5206\u53ef\u80fd\u3067\u306f\u306a\u3044\u305f\u3081\u3001\u4e0d\u5b9a\u7a4d\u5206\u3092\u5b9a\u7fa9\u3067\u304d\u307e\u305b\u3093\u3002\u305f\u3068\u3048\u3070\u3001\u95a2\u6570<div class=\"math-formual notranslate\">$$ {x\\mapsto x^2\\sin(1\/x^2)} $$<\/div> 0 \u3067\u306e\u9023\u7d9a\u6027\u306b\u3088\u308b\u62e1\u5f35\u3092\u6301\u3061\u3001\u7121\u5236\u9650\u306e\u5c0e\u95a2\u6570\u304b\u3089\u5fae\u5206\u53ef\u80fd\u3067\u3042\u308b\u305f\u3081\u3001\u7a4d\u5206\u53ef\u80fd\u3067\u306f\u3042\u308a\u307e\u305b\u3093\u3002<\/li><\/ul><table cellpadding=\"0\" cellspacing=\"0\"><tr><td><div><div><p>\u4e0d\u9023\u7d9a\u95a2\u6570 f (\u9752) \u306e\u4e0d\u5b9a\u7a4d\u5206 F (\u8d64) \u306f F'(0) \u3068 f(0) \u304c\u7570\u306a\u308b\u3082\u306e\u3067\u3059<\/p><\/div><\/div><\/td><td><div><div><p>\u4e0d\u5b9a\u7a4d\u5206 (\u8d64) \u304c\u5e38\u306b\u5fae\u5206\u53ef\u80fd\u3067\u306f\u306a\u3044\u6574\u6570\u90e8\u95a2\u6570 (\u9752)<\/p><\/div><\/div><\/td><td><div><div><p>\u5c0e\u95a2\u6570(\u9752)\u306e\u4e0d\u5b9a\u7a4d\u5206\u3067\u306f\u306a\u3044\u6574\u6570\u90e8\u95a2\u6570(\u8d64)<\/p><\/div><\/div><\/td><td><div><div><p>\u95a2\u6570 x\u00b2(sin(1\/x\u00b2) (\u8d64)\u3001\u305d\u306e\u5c0e\u95a2\u6570 (\u9752) \u306f\u7a4d\u5206\u53ef\u80fd\u3067\u306f\u3042\u308a\u307e\u305b\u3093<\/p><\/div><\/div><\/td><\/tr><\/table><h3><span>\u30eb\u30d9\u30fc\u30b0\u7a4d\u5206\u53ef\u80fd\u95a2\u6570\u306e\u4e0d\u5b9a\u7a4d\u5206<\/span><\/h3><p>\u30eb\u30d9\u30fc\u30b0\u7a4d\u5206\u53ef\u80fd\u95a2\u6570\u306f\u3001\u53ef\u7a4d\u5206\u95a2\u6570\u306e<span><a href=\"https:\/\/science-hub.click\/?p=93469\">\u9818\u57df<\/a><\/span>\u3092\u62e1\u5f35\u3057\u3001\u3057\u305f\u304c\u3063\u3066\u4e0d\u5b9a\u7a4d\u5206\u306e\u9818\u57df\u3092\u62e1\u5f35\u3057\u307e\u3059\u3002<\/p><p>\u30eb\u30d9\u30fc\u30b0\u7a4d\u5206\u53ef\u80fd\u95a2\u6570\u306e\u4e0d\u5b9a\u7a4d\u5206\u306f\u7d76\u5bfe\u9023\u7d9a\u3067\u3059\u3002\u9006\u306b\u3001\u7d76\u5bfe\u9023\u7d9a\u95a2\u6570\u306f\u30eb\u30d9\u30fc\u30b0\u7a4d\u5206\u53ef\u80fd\u95a2\u6570\u306e\u4e0d\u5b9a\u7a4d\u5206\u3067\u3059\u3002<\/p><p>\u30eb\u30d9\u30fc\u30b0\u7a4d\u5206\u53ef\u80fd\u95a2\u6570\u306e\u4e0d\u5b9a\u7a4d\u5206\u306f\u3001 <i>f<\/i>\u304c\u9023\u7d9a\u3067 F'(x)= <i>f<\/i> (x) \u3067\u3042\u308b\u4efb\u610f\u306e\u70b9\u3067\u5fae\u5206\u53ef\u80fd\u3067\u3042\u308a\u3001\u3088\u308a\u4e00\u822c\u7684\u306b\u306f\u3001\u5c0e\u95a2\u6570 f \u3092\u4f7f\u7528\u3059\u308b\u307b\u3068\u3093\u3069\u3059\u3079\u3066\u306e\u5834\u6240\u3067 \u03bc \u5fae\u5206\u53ef\u80fd\u3067\u3059\u3002<\/p><p> F \u304c I \u3067\u5fae\u5206\u53ef\u80fd\u3067\u3042\u308a\u3001\u6709\u754c\u5c0e\u95a2\u6570\u3092\u6301\u3064\u5834\u5408\u3001F \u306f\u305d\u306e\u5c0e\u95a2\u6570\u306e\u4e0d\u5b9a\u7a4d\u5206\u306b\u306a\u308a\u307e\u3059\u3002\u8a00\u3044\u63db\u3048\u308c\u3070\u3001 <i>f<\/i>\u304c\u6709\u754c\u3067\u3042\u308a\u3001\u9006\u5fae\u5206\u304c\u3042\u308b\u5834\u5408\u3001\u3053\u306e\u9006\u5fae\u5206\u306f f \u306e\u4e0d\u5b9a\u7a4d\u5206\u306b\u5bfe\u5fdc\u3057\u307e\u3059\u3002<\/p><p> F \u304c I \u3067\u5fae\u5206\u53ef\u80fd\u3067\u3042\u308a\u3001\u6709\u9650\u306e\u30eb\u30d9\u30fc\u30b0\u7a4d\u5206\u53ef\u80fd\u306a\u5c0e\u95a2\u6570\u3092\u6301\u3064\u5834\u5408\u3001F \u306f\u305d\u306e\u5c0e\u95a2\u6570\u306e\u4e0d\u5b9a\u7a4d\u5206\u3067\u3059\u3002\u8a00\u3044\u63db\u3048\u308c\u3070\u3001 <i>f \u304c<\/i>\u30eb\u30d9\u30fc\u30b0\u7a4d\u5206\u53ef\u80fd\u3067\u53cd\u5fae\u5206\u304c\u3042\u308b\u5834\u5408\u3001\u3053\u306e\u53cd\u5fae\u5206\u306f f \u306e\u4e0d\u5b9a\u7a4d\u5206\u306b\u5bfe\u5fdc\u3057\u307e\u3059\u3002<\/p><div><div> <figure class=\"wp-block-image size-large is-style-default\">\n<img decoding=\"async\" alt=\"\" class=\"aligncenter\" onerror=\"this.style.display=none;\" src=\"https:\/\/img.youtube.com\/vi\/b1d-BAxvoWA\/0.jpg\" style=\"width:100%;\"\/><\/figure><div>\u30ab\u30f3\u30c8\u30fc\u30eb<span><a href=\"https:\/\/science-hub.click\/?p=6498\">\u968e\u6bb5<\/a><\/span>: \u9023\u7d9a\u95a2\u6570\u3001\u307b\u307c\u3069\u3053\u3067\u3082\u30bc\u30ed\u5c0e\u95a2\u6570\u304b\u3089\u307b\u307c\u3069\u3053\u3067\u3082\u5fae\u5206\u53ef\u80fd<\/div><\/div><\/div><p>\u3057\u304b\u3057\u3001\u307b\u3068\u3093\u3069\u3069\u3053\u3067\u3082\u5fae\u5206\u53ef\u80fd\u306a\u9023\u7d9a\u95a2\u6570 F \u304c\u307e\u3060\u5b58\u5728\u3057\u3001\u305d\u306e\u5c0e\u95a2\u6570\u306f F \u304c\u305d\u306e\u5c0e\u95a2\u6570\u306e\u4e0d\u5b9a\u7a4d\u5206\u3067\u306a\u304f\u3066\u3082\u30eb\u30d9\u30fc\u30b0\u7a4d\u5206\u53ef\u80fd\u3067\u3059\u3002\u3053\u306e\u3088\u3046\u306a\u6a5f\u80fd\u306e\u5178\u578b\u7684\u306a\u4f8b\u306f\u3001\u30ab\u30f3\u30c8\u30fc\u30eb\u968e\u6bb5\u3067\u3059\u3002<\/p><p>\u305f\u3060\u3057\u3001\u6709\u754c\u5909\u52d5\u3092\u6301\u3064\u95a2\u6570 F \u306f\u307b\u307c\u3069\u3053\u3067\u3082\u5fae\u5206\u53ef\u80fd\u3067\u3042\u308a\u3001F&#8217; \u306e\u4e0d\u5b9a\u7a4d\u5206\u3068\u3001\u307b\u307c\u3069\u3053\u3067\u3082\u30bc\u30ed\u5c0e\u95a2\u6570 \u03bc \u306e\u6709\u754c\u5909\u52d5\u3092\u6301\u3064\u95a2\u6570 G \u306e\u548c\u306b\u306a\u308a\u307e\u3059\u3002<\/p><h3><span>\u30ab\u30fc\u30c4\u30ef\u30a4\u30eb\u30fb\u30d8\u30f3\u30b7\u30e5\u30c8\u30c3\u30af\u7a4d\u5206\u53ef\u80fd\u95a2\u6570\u306e\u4e0d\u5b9a\u7a4d\u5206<\/span><\/h3><p>KH \u7a4d\u5206\u53ef\u80fd\u95a2\u6570\u306f\u3001\u53ef\u7a4d\u5206\u95a2\u6570\u306e\u5206\u91ce\u3092\u3055\u3089\u306b\u5e83\u3052\u3001\u539f\u59cb\u7a4d\u5206\u3068\u4e0d\u5b9a\u7a4d\u5206\u306e\u6982\u5ff5\u3092\u307b\u307c\u5b8c\u5168\u306b\u4e00\u81f4\u3055\u305b\u307e\u3059\u3002<\/p><p> F \u304c I \u3067\u5fae\u5206\u53ef\u80fd\u3067\u3042\u308b\u5834\u5408\u3001F&#8217; \u306f KH \u7a4d\u5206\u53ef\u80fd\u3067\u3042\u308a\u3001F \u306f\u305d\u306e\u5c0e\u95a2\u6570\u306e\u4e0d\u5b9a\u7a4d\u5206\u3067\u3059\u3002\u8a00\u3044\u63db\u3048\u308c\u3070\u3001 <i>f<\/i>\u306b\u30d7\u30ea\u30df\u30c6\u30a3\u30d6\u304c\u3042\u308b\u5834\u5408\u3001\u305d\u308c\u3089\u306f<i>f<\/i>\u306e\u4e0d\u5b9a\u7a4d\u5206\u306b\u306a\u308a\u307e\u3059\u3002<\/p><p> <i>f<\/i>\u304c I \u4e0a\u3067 KH \u7a4d\u5206\u53ef\u80fd\u3067\u3042\u308b\u5834\u5408\u3001 <i>f<\/i>\u306e\u4e0d\u5b9a\u7a4d\u5206\u306f\u9023\u7d9a\u3067\u3042\u308a\u3001\u307b\u3068\u3093\u3069\u3069\u3053\u3067\u3082<i>f<\/i>\u306b\u7b49\u3057\u3044\u5c0e\u95a2\u6570\u304c\u8a31\u5bb9\u3055\u308c\u307e\u3059\u3002<\/p><\/div><h2 class=\"ref_link\">\u53c2\u8003\u8cc7\u6599<\/h2><ol><li><a class=\"notranslate\" href=\"https:\/\/cv.wikipedia.org\/wiki\/%D0%9F%D0%B0%D0%BB%D0%BB%C4%83%D0%BC%D0%B0%D1%80%D0%BB%C4%83%D1%85%D0%BB%C4%83_%D0%B8%D0%BD%D1%82%D0%B5%D0%B3%D1%80%D0%B0%D0%BB\">\u041f\u0430\u043b\u043b\u0103\u043c\u0430\u0440\u043b\u0103\u0445\u043b\u0103 \u0438\u043d\u0442\u0435\u0433\u0440\u0430\u043b \u2013 tchouvache<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/de.wikipedia.org\/wiki\/Unbestimmtes_Integral\">Unbestimmtes Integral \u2013 allemand<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/en.wikipedia.org\/wiki\/Indefinite_integral\">Indefinite integral \u2013 anglais<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/et.wikipedia.org\/wiki\/M%C3%A4%C3%A4ramata_integraal\">M\u00e4\u00e4ramata integraal \u2013 estonien<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/he.wikipedia.org\/wiki\/%D7%90%D7%99%D7%A0%D7%98%D7%92%D7%A8%D7%9C_%D7%9C%D7%90_%D7%9E%D7%A1%D7%95%D7%99%D7%9D\">\u05d0\u05d9\u05e0\u05d8\u05d2\u05e8\u05dc \u05dc\u05d0 \u05de\u05e1\u05d5\u05d9\u05dd \u2013 h\u00e9breu<\/a><\/li><li> <a class=\"notranslate\" href=\"https:\/\/hu.wikipedia.org\/wiki\/Hat%C3%A1rozatlan_integr%C3%A1l\">Hat\u00e1rozatlan integr\u00e1l \u2013 hongrois<\/a><\/li><\/ol><\/div>\n<div class=\"feature-video\">\n <h2>\n  \u4e0d\u5b9a\u7a4d\u5206 &#8211; \u5b9a\u7fa9\u30fb\u95a2\u9023\u52d5\u753b\n <\/h2>\n <div class=\"video-item\">\n  \n  <figure class=\"wp-block-embed is-type-video is-provider-youtube wp-block-embed-youtube wp-embed-aspect-16-9 wp-has-aspect-ratio\">\n   <div class=\"wp-block-embed__wrapper\">\n    <iframe loading=\"lazy\" title=\"\u300c\u7a4d\u5206\u3059\u308b\u300d\u3068\u306f\u300c\u4e0d\u5b9a\u7a4d\u5206\u3092\u6c42\u3081\u308b\u3053\u3068\u300d\uff1a\u4e0d\u5b9a\u7a4d\u5206\u306e\u5b9a\u7fa9\u306b\u3064\u3044\u3066\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/CEa-b4RUYsM?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share\" referrerpolicy=\"strict-origin-when-cross-origin\" allowfullscreen><\/iframe>\n   <\/div>\n  <\/figure>\n  \n <\/div>\n<\/div>\n","protected":false},"excerpt":{"rendered":"<p>\u5c0e\u5165 \u5b9f\u6570\u89e3\u6790\u307e\u305f\u306f\u8907\u7d20\u89e3\u6790\u3067\u306f\u3001\u533a\u9593 I \u3067\u7a4d\u5206\u53ef\u80fd\u306a\u95a2\u6570f\u306e\u4e0d\u5b9a\u7a4d\u5206\u306f\u3001I \u4e0a\u3067\u6b21\u306e\u3088\u3046\u306b\u5b9a\u7fa9\u3055\u308c\u308b\u95a2\u6570\u3067\u3059\u3002 $$ {F(x)=\\int_a^xf(t)dt + K} $$ \u3053\u3053\u3067\u3001a \u306f I \u306e\u8981\u7d20\u3001K \u306f\u5b9a\u6570\u3067 [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":66122,"comment_status":"","ping_status":"","sticky":false,"template":"","format":"standard","meta":{"fifu_image_url":"https:\/\/img.youtube.com\/vi\/CEa-b4RUYsM\/0.jpg","fifu_image_alt":"\u4e0d\u5b9a\u7a4d\u5206 - \u5b9a\u7fa9","footnotes":""},"categories":[5],"tags":[61745,11,13,10,14,61744,12,8,16,10032,15,9],"class_list":["post-66121","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-dictionary","tag-chemin-de-fer-du-dakar-niger","tag-techniques","tag-technologie","tag-actualite","tag-news","tag-lessona","tag-dossier","tag-definition","tag-sciences","tag-integrale","tag-article","tag-explications"],"_links":{"self":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/posts\/66121"}],"collection":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=66121"}],"version-history":[{"count":0,"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/posts\/66121\/revisions"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=\/wp\/v2\/media\/66122"}],"wp:attachment":[{"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=66121"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=66121"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/science-hub.click\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=66121"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}