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{"id":27032,"date":"2018-04-16T16:16:53","date_gmt":"2018-04-16T09:16:53","guid":{"rendered":"https:\/\/lop12.edu.vn\/?p=27032"},"modified":"2018-04-16T16:16:53","modified_gmt":"2018-04-16T09:16:53","slug":"chuong-3-ly-thuyet-bai-2-tich-phan","status":"publish","type":"post","link":"https:\/\/lop12.edu.vn\/chuong-3-ly-thuyet-bai-2-tich-phan\/","title":{"rendered":"Ch\u01b0\u01a1ng 3 – L\u00fd thuy\u1ebft B\u00e0i 2: T\u00edch ph\u00e2n"},"content":{"rendered":"

1. T\u00edch ph\u00e2n<\/b><\/p>\n

a) \u0110\u1ecbnh ngh\u0129a: Cho h\u00e0m s\u1ed1 f(x) li\u00ean t\u1ee5c tr\u00ean \u0111o\u1ea1n [a; b] . Gi\u1ea3 s\u1eed F(x) l\u00e0 m\u1ed9t nguy\u00ean h\u00e0m c\u1ee7a f(x) tr\u00ean \u0111o\u1ea1n [a; b] . Hi\u1ec7u s\u1ed1 F(b) \u2013 F(a) \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 t\u00edch ph\u00e2n t\u1eeb a \u0111\u1ebfn b ( hay t\u00edch ph\u00e2n x\u00e1c \u0111\u1ecbnh tr\u00ean \u0111o\u1ea1n [a; b] c\u1ee7a h\u00e0m f(x), k\u00ed hi\u1ec7u l\u00e0<\/p>\n

\"\"<\/p>\n

V\u1eady ta c\u00f3<\/p>\n

\"\"<\/p>\n

Ch\u00fa \u00fd:<\/p>\n

\"\"<\/p>\n

+ T\u00edch ph\u00e2n kh\u00f4ng ph\u1ee5 thu\u1ed9c v\u00e0o ch\u1eef l\u00e0m bi\u1ebfn s\u1ed1 trong d\u1ea5u t\u00edch ph\u00e2n, t\u1ee9c l\u00e0<\/p>\n

\"\"<\/p>\n

b) T\u00ednh ch\u1ea5t<\/p>\n

\"\"<\/p>\n

\"\"<\/p>\n

(a < c1<\/sub>\u00a0< c2<\/sub>\u00a0< … < cn<\/sub>\u00a0< b)<\/p>\n

2. Ph\u01b0\u01a1ng ph\u00e1p t\u00ednh t\u00edch ph\u00e2n<\/b><\/p>\n

a) Ph\u01b0\u01a1ng ph\u00e1p bi\u1ebfn \u0111\u1ed5i bi\u1ebfn s\u1ed1<\/p>\n

\u0110\u1ecbnh l\u00ed 1. Gi\u1ea3 s\u1eed h\u00e0m s\u1ed1 x = \u03c6(t) c\u00f3 \u0111\u1ea1o h\u00e0m li\u00ean t\u1ee5c tr\u00ean \u0111o\u1ea1n [a; b] sao cho \u03c6(\u03b1) = a, \u03c6(\u03b2) = b v\u00e0 a \u2264 \u03c6(t) \u2264 b, \u2200t \u2208 [a; b] . Khi \u0111\u00f3<\/p>\n

\"\"<\/p>\n

\u0110\u1ecbnh l\u00ed 2. Gi\u1ea3 s\u1eed h\u00e0m s\u1ed1 u = u(x) c\u00f3 \u0111\u1ea1o h\u00e0m li\u00ean t\u1ee5c tr\u00ean \u0111o\u1ea1n [a; b] sao cho \u03b1 \u2264 u(x) \u2264 \u03b2, \u2200x \u2208 [a; b] .<\/p>\n

N\u1ebfu f(x) = g(u(x))u'(x), \u2200x \u2208 [a; b] trong \u0111\u00f3 g(u) li\u00ean t\u1ee5c tr\u00ean \u0111o\u1ea1n [\u03b1 \u03b2] th\u00ec<\/p>\n

\"\"<\/p>\n

b) Ph\u01b0\u01a1ng ph\u00e1p t\u00ednh t\u00edch ph\u00e2n t\u1eebng ph\u1ea7n<\/p>\n

\u0110\u1ecbnh l\u00ed. N\u1ebfu u = u(x), v = v(x) l\u00e0 hai h\u00e0m s\u1ed1 c\u00f3 \u0111\u1ea1o h\u00e0m li\u00ean t\u1ee5c tr\u00ean \u0111o\u1ea1n [a; b] , th\u00ec<\/p>\n

\"\"<\/p>\n

\"B\u00e0i<\/p>\n","protected":false},"excerpt":{"rendered":"

1. T\u00edch ph\u00e2n a) \u0110\u1ecbnh ngh\u0129a: Cho h\u00e0m s\u1ed1 f(x) li\u00ean t\u1ee5c tr\u00ean \u0111o\u1ea1n [a; b] . Gi\u1ea3 s\u1eed F(x) l\u00e0 m\u1ed9t nguy\u00ean h\u00e0m c\u1ee7a f(x) tr\u00ean \u0111o\u1ea1n [a; b] . Hi\u1ec7u s\u1ed1 F(b) \u2013 F(a) \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 t\u00edch ph\u00e2n t\u1eeb a \u0111\u1ebfn b ( hay t\u00edch ph\u00e2n x\u00e1c \u0111\u1ecbnh tr\u00ean \u0111o\u1ea1n [a; b] […]<\/p>\n","protected":false},"author":3,"featured_media":27033,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_mi_skip_tracking":false,"tdm_status":"","tdm_grid_status":""},"categories":[157],"tags":[1447,1446],"yoast_head":"\nCh\u01b0\u01a1ng 3 - L\u00fd thuy\u1ebft B\u00e0i 2: T\u00edch ph\u00e2n<\/title>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/lop12.edu.vn\/chuong-3-ly-thuyet-bai-2-tich-phan\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Ch\u01b0\u01a1ng 3 - L\u00fd thuy\u1ebft B\u00e0i 2: T\u00edch ph\u00e2n\" \/>\n<meta property=\"og:description\" content=\"1. T\u00edch ph\u00e2n a) \u0110\u1ecbnh ngh\u0129a: Cho h\u00e0m s\u1ed1 f(x) li\u00ean t\u1ee5c tr\u00ean \u0111o\u1ea1n [a; b] . Gi\u1ea3 s\u1eed F(x) l\u00e0 m\u1ed9t nguy\u00ean h\u00e0m c\u1ee7a f(x) tr\u00ean \u0111o\u1ea1n [a; b] . Hi\u1ec7u s\u1ed1 F(b) \u2013 F(a) \u0111\u01b0\u1ee3c g\u1ecdi l\u00e0 t\u00edch ph\u00e2n t\u1eeb a \u0111\u1ebfn b ( hay t\u00edch ph\u00e2n x\u00e1c \u0111\u1ecbnh tr\u00ean \u0111o\u1ea1n [a; b] […]\" \/>\n<meta property=\"og:url\" content=\"https:\/\/lop12.edu.vn\/chuong-3-ly-thuyet-bai-2-tich-phan\/\" \/>\n<meta property=\"og:site_name\" content=\"Lop12.edu.vn - C\u1ed9ng \u0111\u1ed3ng h\u1ecdc sinh l\u1edbp 12 l\u1edbn nh\u1ea5t t\u1ea1i Vi\u1ec7t Nam\" \/>\n<meta property=\"article:published_time\" content=\"2018-04-16T09:16:53+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/lop12.edu.vn\/wp-content\/uploads\/2018\/04\/1-206.png\" \/>\n\t<meta property=\"og:image:width\" content=\"73\" \/>\n\t<meta property=\"og:image:height\" content=\"62\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/png\" \/>\n<meta name=\"author\" content=\"H\u00e0 Trang\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"H\u00e0 Trang\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<script type=\"application\/ld+json\" class=\"yoast-schema-graph\">{\"@context\":\"https:\/\/schema.org\",\"@graph\":[{\"@type\":\"WebPage\",\"@id\":\"https:\/\/lop12.edu.vn\/chuong-3-ly-thuyet-bai-2-tich-phan\/\",\"url\":\"https:\/\/lop12.edu.vn\/chuong-3-ly-thuyet-bai-2-tich-phan\/\",\"name\":\"Ch\u01b0\u01a1ng 3 - L\u00fd thuy\u1ebft B\u00e0i 2: T\u00edch ph\u00e2n\",\"isPartOf\":{\"@id\":\"https:\/\/lop12.edu.vn\/#website\"},\"datePublished\":\"2018-04-16T09:16:53+00:00\",\"dateModified\":\"2018-04-16T09:16:53+00:00\",\"author\":{\"@id\":\"https:\/\/lop12.edu.vn\/#\/schema\/person\/2da855e5d06b553ac0065157cc261a45\"},\"breadcrumb\":{\"@id\":\"https:\/\/lop12.edu.vn\/chuong-3-ly-thuyet-bai-2-tich-phan\/#breadcrumb\"},\"inLanguage\":\"en-US\",\"potentialAction\":[{\"@type\":\"ReadAction\",\"target\":[\"https:\/\/lop12.edu.vn\/chuong-3-ly-thuyet-bai-2-tich-phan\/\"]}]},{\"@type\":\"BreadcrumbList\",\"@id\":\"https:\/\/lop12.edu.vn\/chuong-3-ly-thuyet-bai-2-tich-phan\/#breadcrumb\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https:\/\/lop12.edu.vn\/\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Ch\u01b0\u01a1ng 3 – L\u00fd thuy\u1ebft B\u00e0i 2: T\u00edch ph\u00e2n\"}]},{\"@type\":\"WebSite\",\"@id\":\"https:\/\/lop12.edu.vn\/#website\",\"url\":\"https:\/\/lop12.edu.vn\/\",\"name\":\"Lop12.edu.vn - C\u1ed9ng \u0111\u1ed3ng h\u1ecdc sinh l\u1edbp 12\",\"description\":\"\",\"potentialAction\":[{\"@type\":\"SearchAction\",\"target\":{\"@type\":\"EntryPoint\",\"urlTemplate\":\"https:\/\/lop12.edu.vn\/?s={search_term_string}\"},\"query-input\":\"required name=search_term_string\"}],\"inLanguage\":\"en-US\"},{\"@type\":\"Person\",\"@id\":\"https:\/\/lop12.edu.vn\/#\/schema\/person\/2da855e5d06b553ac0065157cc261a45\",\"name\":\"H\u00e0 Trang\",\"image\":{\"@type\":\"ImageObject\",\"inLanguage\":\"en-US\",\"@id\":\"https:\/\/lop12.edu.vn\/#\/schema\/person\/image\/\",\"url\":\"https:\/\/secure.gravatar.com\/avatar\/545a8100db1147f314111301d261dc33?s=96&d=mm&r=g\",\"contentUrl\":\"https:\/\/secure.gravatar.com\/avatar\/545a8100db1147f314111301d261dc33?s=96&d=mm&r=g\",\"caption\":\"H\u00e0 Trang\"},\"url\":\"https:\/\/lop12.edu.vn\/author\/trangvth2\/\"}]}<\/script>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"Ch\u01b0\u01a1ng 3 - L\u00fd thuy\u1ebft B\u00e0i 2: T\u00edch ph\u00e2n","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/lop12.edu.vn\/chuong-3-ly-thuyet-bai-2-tich-phan\/","og_locale":"en_US","og_type":"article","og_title":"Ch\u01b0\u01a1ng 3 - L\u00fd thuy\u1ebft B\u00e0i 2: T\u00edch ph\u00e2n","og_description":"1. 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