{"id":735,"date":"2024-04-20T18:04:08","date_gmt":"2024-04-20T18:04:08","guid":{"rendered":"https:\/\/gbelentzas.sites.sch.gr\/?p=735"},"modified":"2024-05-01T07:49:32","modified_gmt":"2024-05-01T07:49:32","slug":"%ce%b8%ce%b5%ce%bc%ce%b5%ce%bb%ce%b9%cf%8e%ce%b4%ce%b5%cf%82-%ce%b8%ce%b5%cf%8e%cf%81%ce%b7%ce%bc%ce%b1-%ce%bf%ce%bb%ce%bf%ce%ba%ce%bb%ce%b7%cf%81%cf%89%cf%84%ce%b9%ce%ba%ce%bf%cf%8d-%ce%bb%ce%bf","status":"publish","type":"post","link":"https:\/\/gbelentzas.sites.sch.gr\/?p=735","title":{"rendered":"\u0398\u03b5\u03bc\u03b5\u03bb\u03b9\u03ce\u03b4\u03b5\u03c2 \u03b8\u03b5\u03ce\u03c1\u03b7\u03bc\u03b1 \u03bf\u03bb\u03bf\u03ba\u03bb\u03b7\u03c1\u03c9\u03c4\u03b9\u03ba\u03bf\u03cd \u03bb\u03bf\u03b3\u03b9\u03c3\u03bc\u03bf\u03cd (\u03b1\u03c0\u03cc\u03b4\u03b5\u03b9\u03be\u03b7)"},"content":{"rendered":"

\u0398\u03b5\u03ce\u03c1\u03b7\u03bc\u03b1 22. \u00a0<\/strong>(\u0398\u03b5\u03bc\u03b5\u03bb\u03b9\u03ce\u03b4\u03b5\u03c2 \u03b8\u03b5\u03ce\u03c1\u03b7\u03bc\u03b1 \u03c4\u03bf\u03c5 \u03bf\u03bb\u03bf\u03ba\u03bb\u03b7\u03c1\u03c9\u03c4\u03b9\u03ba\u03bf\u03cd \u03bb\u03bf\u03b3\u03b9\u03c3\u03bc\u03bf\u03cd) <\/span>\u0388\u03c3\u03c4\u03c9 f \u03bc\u03b9\u03b1 \u03c3\u03c5\u03bd\u03b5\u03c7\u03ae\u03c2 \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7 \u03c3’ \u03ad\u03bd\u03b1 \u03b4\u03b9\u03ac\u03c3\u03c4\u03b7\u03bc\u03b1<\/span> \"\textcolor{blue}{ [\alpha,\beta]}\". \u0391\u03bd G \u03b5\u03af\u03bd\u03b1\u03b9 \u03bc\u03b9\u03b1 \u03c0\u03b1\u03c1\u03ac\u03b3\u03bf\u03c5\u03c3\u03b1 \u03c4\u03b7\u03c2 f \u03c3\u03c4\u03bf<\/span> \"\textcolor{blue}{[\alpha,\beta] }\", \u03c4\u03cc\u03c4\u03b5<\/span> <\/p>\n

  <\/span>   <\/span>\"\[\textcolor{blue}{\int_a^\beta f(t) d t=G(\beta)-G(\alpha) }\]\"<\/p>\n

(\u0397\u039c. 2002, \u0397\u039c. 2013)<\/em><\/span><\/p>\n

\n

\u0388\u03c3\u03c4\u03c9 f \u03bc\u03b9\u03b1 \u03c3\u03c5\u03bd\u03b5\u03c7\u03ae\u03c2 \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7 \u03c3’ \u03ad\u03bd\u03b1 \u03b4\u03b9\u03ac\u03c3\u03c4\u03b7\u03bc\u03b1 \"[\alpha,\beta]\"\u03ba\u03b1\u03b9 G \u03b5\u03af\u03bd\u03b1\u03b9 \u03bc\u03b9\u03b1 \u03c0\u03b1\u03c1\u03ac\u03b3\u03bf\u03c5\u03c3\u03b1 \u03c4\u03b7\u03c2 f \u03c3\u03c4\u03bf \"[\alpha,\beta]\".<\/p>\n

\u0397 \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7 <\/p>\n

  <\/span>   <\/span>\"\[F(x)=\int_\alpha^x f(t) d t\]\"<\/p>\n

\u03b5\u03af\u03bd\u03b1\u03b9 \u03bc\u03b9\u03b1 \u03c0\u03b1\u03c1\u03ac\u03b3\u03bf\u03c5\u03c3\u03b1 \u03c4\u03b7\u03c2 f \u03c3\u03c4\u03bf \"[\alpha,\beta]\".<\/p>\n

\u0395\u03c0\u03b5\u03b9\u03b4\u03ae \u03ba\u03b1\u03b9 \u03b7 G \u03b5\u03af\u03bd\u03b1\u03b9 \u03bc\u03b9\u03b1 \u03c0\u03b1\u03c1\u03ac\u03b3\u03bf\u03c5\u03c3\u03b1 \u03c4\u03b7\u03c2 f \u03c3\u03c4\u03bf\"[\alpha,\beta]\", \u03b8\u03b1 \u03c5\u03c0\u03ac\u03c1\u03c7\u03b5\u03b9 \"c \in \mathbf{R}\" \u03c4\u03ad\u03c4\u03bf\u03b9\u03bf \u03ce\u03c3\u03c4\u03b5,<\/p>\n

\"\mathrm{G}(\mathrm{x})=\mathrm{F}(\mathrm{x})+\mathrm{c} \quad (1)\"<\/p>\n

\u0391\u03c0\u03cc \u03c4\u03b7\u03bd (1), \u03b3\u03b9\u03b1 x = \u03b1 , \u03ad\u03c7\u03bf\u03c5\u03bc\u03b5\u00a0\"G(\alpha)=F(\alpha)+c=\int_\alpha^a f(t) d t+c=c\"\u00a0\u03bf\u03c0\u03cc\u03c4\u03b5 \"c=G(\alpha)\"<\/p>\n

\u0395\u03c0\u03bf\u03bc\u03ad\u03bd\u03c9\u03c2,<\/p>\n

\"\mathrm{G}(\mathrm{x})=\mathrm{F}(\mathrm{x})+\mathrm{G}(\alpha)\"<\/p>\n

\u03bf\u03c0\u03cc\u03c4\u03b5, \u03b3\u03b9\u03b1 x = \u03b2 , \u03ad\u03c7\u03bf\u03c5\u03bc\u03b5<\/p>\n

\"G(\beta)=F(\beta)+G(\alpha)=\int_\alpha^\beta f(t) d t+G(\alpha)\"<\/p>\n

\u03ba\u03b1\u03b9 \u03ac\u03c1\u03b1<\/p>\n

\"\int_a^\beta f(t) d t=G(\beta)-G(\alpha)\"<\/p>\n","protected":false},"excerpt":{"rendered":"

\u0398\u03b5\u03ce\u03c1\u03b7\u03bc\u03b1 22. \u00a0(\u0398\u03b5\u03bc\u03b5\u03bb\u03b9\u03ce\u03b4\u03b5\u03c2 \u03b8\u03b5\u03ce\u03c1\u03b7\u03bc\u03b1 \u03c4\u03bf\u03c5 \u03bf\u03bb\u03bf\u03ba\u03bb\u03b7\u03c1\u03c9\u03c4\u03b9\u03ba\u03bf\u03cd \u03bb\u03bf\u03b3\u03b9\u03c3\u03bc\u03bf\u03cd) \u0388\u03c3\u03c4\u03c9 f \u03bc\u03b9\u03b1 \u03c3\u03c5\u03bd\u03b5\u03c7\u03ae\u03c2 \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7 \u03c3’ \u03ad\u03bd\u03b1 \u03b4\u03b9\u03ac\u03c3\u03c4\u03b7\u03bc\u03b1 . \u0391\u03bd G \u03b5\u03af\u03bd\u03b1\u03b9 \u03bc\u03b9\u03b1 \u03c0\u03b1\u03c1\u03ac\u03b3\u03bf\u03c5\u03c3\u03b1 \u03c4\u03b7\u03c2 f \u03c3\u03c4\u03bf , \u03c4\u03cc\u03c4\u03b5     (\u0397\u039c. 2002, \u0397\u039c. 2013) \u0388\u03c3\u03c4\u03c9 f \u03bc\u03b9\u03b1 \u03c3\u03c5\u03bd\u03b5\u03c7\u03ae\u03c2 \u03c3\u03c5\u03bd\u03ac\u03c1\u03c4\u03b7\u03c3\u03b7 \u03c3’ \u03ad\u03bd\u03b1 \u03b4\u03b9\u03ac\u03c3\u03c4\u03b7\u03bc\u03b1 \u03ba\u03b1\u03b9 G \u03b5\u03af\u03bd\u03b1\u03b9 \u03bc\u03b9\u03b1 \u03c0\u03b1\u03c1\u03ac\u03b3\u03bf\u03c5\u03c3\u03b1 \u03c4\u03b7\u03c2 f \u03c3\u03c4\u03bf . \u0397…<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[13],"tags":[],"class_list":["post-735","post","type-post","status-publish","format-standard","hentry","category-13"],"featured_image_src":null,"author_info":{"display_name":"admin","author_link":"https:\/\/gbelentzas.sites.sch.gr\/?author=1"},"yoast_head":"\n\u0398\u03b5\u03bc\u03b5\u03bb\u03b9\u03ce\u03b4\u03b5\u03c2 \u03b8\u03b5\u03ce\u03c1\u03b7\u03bc\u03b1 \u03bf\u03bb\u03bf\u03ba\u03bb\u03b7\u03c1\u03c9\u03c4\u03b9\u03ba\u03bf\u03cd \u03bb\u03bf\u03b3\u03b9\u03c3\u03bc\u03bf\u03cd (\u03b1\u03c0\u03cc\u03b4\u03b5\u03b9\u03be\u03b7) - 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