Xem tr\u1ecdn b\u1ed9 l\u00fd thuy\u1ebft v\u00e0 Ph\u01b0\u01a1ng ph\u00e1p gi\u1ea3i b\u00e0i t\u1eadp T\u00edch Ph\u00e2n c\u00f9ng \u0111\u1ec1 thi v\u00e0 \u0111\u00e1p \u00e1n ch\u00ednh th\u1ee9c v\u1ec1 ch\u1ee7 \u0111\u1ec1 t\u00edch ph\u00e2n trong \u0111\u1ec1 thi \u0111\u1ea1i h\u1ecdc cao \u0111\u1eb3ng nh\u1eefng n\u0103m g\u1ea7n \u0111\u00e2y. T\u00ednh ch\u1ea5t c\u1ee7a t\u00edch ph\u00e2n v\u00e0 c\u00f4ng th\u1ee9c bi\u1ebfn \u0111\u1ed5i t\u00edch ph\u00e2n c\u01a1 b\u1ea3n<\/b>
\nI.T\u00ednh ch\u1ea5t c\u1ee7a t\u00edch ph\u00e2n v\u00e0 c\u00f4ng th\u1ee9c bi\u1ebfn \u0111\u1ed5i t\u00edch ph\u00e2n c\u01a1 b\u1ea3n<\/strong><\/h5>\n

Tr\u01b0\u1edbc khi \u0111i v\u00e0o chi ti\u1ebft c\u00e1c ph\u01b0\u01a1ng ph\u00e1p gi\u1ea3i t\u00edch ph\u00e2n v\u00e0 b\u00e0i t\u1eadp luy\u1ec7n t\u1eadp, ch\u00fang ta c\u00f9ng \u0111i\u1ec3m qua m\u1ed9t s\u1ed1 t\u00ednh ch\u1ea5t c\u1ee7a t\u00edch ph\u00e2n c\u00f9ng c\u00f4ng th\u1ee9c c\u1ee7a c\u00e1c t\u00edch ph\u00e2n c\u01a1 b\u1ea3n:<\/span><\/p>\n

1. T\u00ednh ch\u1ea5t c\u1ee7a t\u00edch ph\u00e2n x\u00e1c \u0111\u1ecbnh<\/span><\/strong><\/h5>\n

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2. C\u00f4ng th\u1ee9c – Danh s\u00e1ch c\u00e1c t\u00edch ph\u00e2n c\u01a1 b\u1ea3n:<\/span><\/strong><\/h5>\n

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II. Ph\u01b0\u01a1ng ph\u00e1p gi\u1ea3i t\u00edch ph\u00e2n v\u00e0 \u0111\u1ec1 thi k\u00e8m \u0111\u00e1p \u00e1n luy\u1ec7n t\u1eadp<\/span><\/strong><\/h5>\n

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2. T\u00ednh t\u00edch ph\u00e2n b\u1eb1ng ph\u01b0\u01a1ng ph\u00e1p \u0111\u1ed5i bi\u1ebfn s\u1ed1<\/span><\/strong><\/h5>\n

T\u00ednh t\u00edch ph\u00e2n b\u1eb1ng ph\u01b0\u01a1ng ph\u00e1p \u0111\u1ed5i bi\u1ebfn s\u1ed1 bao g\u1ed3m:<\/span><\/p>\n

Ch\u1ecdn x = g(t), trong \u0111\u00f3 g(t) l\u00e0 m\u1ed9t h\u00e0m s\u1ed1 m\u00e0 ta ch\u1ecdn th\u00edch h\u1ee3p.<\/span><\/p>\n

L\u1ea5y vi ph\u00e2n dx <\/span><\/p>\n

Bi\u1ec3u th\u1ecb f(x)dx theo t v\u00e0 dt. Gi\u1ea3 s\u1eed r\u1eb1ng f(x)dx = g(t)dt<\/span><\/p>\n

T\u00ednh c\u00e1c c\u1eadn t\u01b0\u01a1ng \u1ee9ng theo a v\u00e0 b<\/span><\/p>\n

T\u00ednh I = \u0110\u00f3 l\u00e0 t\u00edch ph\u00e2n c\u1ea7n t\u00ednh.<\/span><\/p>\n

\u0110\u00f4i khi thay v\u00ec \u0111\u1eb7t x = g(t), ta \u0111\u1eb7t t = v(x) r\u1ed3i l\u1ea5y vi ph\u00e2n hai v\u1ebf \u0111\u1ec3 t\u00ednh dx theo t sau \u0111\u00f3 ti\u1ebfp t\u1ee5c l\u00e0m c\u00e1c b\u01b0\u1edbc c\u00f2n l\u1ea1i. Nh\u01b0 v\u1eady l\u00e0 vi\u1ec7c ch\u1ecdn \u1ea9n ph\u1ee5 r\u1ea5t \u0111a d\u1ea1ng, tu\u1ef3 thu\u1ed9c v\u00e0o t\u00ednh ch\u1ea5t c\u1ee7a h\u00e0m d\u01b0\u1edbi d\u1ea5u t\u00edch ph\u00e2n, c\u00f3 khi ph\u1ee5 thu\u1ed9c v\u00e0o c\u1eadn a v\u00e0 b n\u1eefa. <\/span><\/p>\n

N\u1ed9i dung t\u00e0i li\u1ec7u n\u00e0y ch\u1ec9 gi\u1edbi h\u1ea1n trong c\u00e1c t\u00edch ph\u00e2n kh\u00f4ng qu\u00e1 ph\u1ee9c t\u1ea1p m\u00e0 vi\u1ec7c ch\u1ecdn c\u00e1c \u1ea9n ph\u1ee5 x = g(t) ho\u1eb7c t = v(x) l\u00e0 c\u00e1c d\u1ea1ng th\u00f4ng d\u1ee5ng. L\u00e0 m\u1ed9t GV gi\u1ea3ng d\u1ea1y to\u00e1n trong nh\u00e0 tr\u01b0\u1eddng, c\u00f3 tham gia \u00f4n luy\u1ec7n c\u00e1c \u0111\u1ed9i tuy\u1ec3n c\u1ee7a nh\u00e0 tr\u01b0\u1eddng v\u00e0 gi\u1ea3ng d\u1ea1y c\u00e1c l\u1edbp \u00f4n thi \u0110H, TN. T\u00f4i r\u1ea5t b\u0103n kho\u0103n , tr\u0103n tr\u1edf v\u00e0 \u0111\u00e3 c\u1ed1 g\u1eafng trau d\u1ed3i kh\u1ea3 n\u0103ng, h\u1ecdc h\u1ecfi v\u00e0 t\u00edch lu\u1ef9 kinh nghi\u1ec7m r\u1ed3i m\u1ea1nh d\u1ea1n \u00e1p d\u1ee5ng v\u1edbi mong mu\u1ed1n g\u00f3p ph\u1ea7n nh\u1ecf v\u00e0o s\u1ef1 th\u00e0nh \u0111\u1ea1t c\u1ee7a HS, g\u00f3p ph\u1ea7n nh\u1ecf v\u00e0o s\u1ef1 nghi\u1ec7p gi\u00e1o d\u1ee5c c\u1ee7a nh\u00e0 tr\u01b0\u1eddng v\u00e0 ng\u00e0nh GD t\u1ec9nh nh\u00e0. \u0110\u1ec3 gi\u00fap c\u00e1c h\u1ecdc sinh thu\u1eadn l\u1ee3i trong vi\u1ec7c h\u1ecdc t\u1eadp t\u00f4i m\u1ea1nh d\u1ea1n \u0111\u01b0a ra chuy\u00ean \u0111\u1ec1: \u201cPh\u01b0\u01a1ng ph\u00e1p \u0111\u1ed5i bi\u1ebfn s\u1ed1 trong vi\u1ec7c t\u00ednh t\u00edch ph\u00e2n<\/b>\u2019\u2019\u00a0<\/span><\/p>\n

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Theo Kenhtuyensinh.vn<\/p>\n","protected":false},"excerpt":{"rendered":"

Xem tr\u1ecdn b\u1ed9 l\u00fd thuy\u1ebft v\u00e0 Ph\u01b0\u01a1ng ph\u00e1p gi\u1ea3i b\u00e0i t\u1eadp T\u00edch Ph\u00e2n c\u00f9ng \u0111\u1ec1 thi v\u00e0 \u0111\u00e1p \u00e1n ch\u00ednh th\u1ee9c v\u1ec1 ch\u1ee7 \u0111\u1ec1 t\u00edch ph\u00e2n trong \u0111\u1ec1 thi \u0111\u1ea1i h\u1ecdc cao \u0111\u1eb3ng nh\u1eefng n\u0103m g\u1ea7n \u0111\u00e2y. T\u00ednh ch\u1ea5t c\u1ee7a t\u00edch ph\u00e2n v\u00e0 c\u00f4ng th\u1ee9c bi\u1ebfn \u0111\u1ed5i t\u00edch ph\u00e2n c\u01a1 b\u1ea3n I.T\u00ednh ch\u1ea5t c\u1ee7a t\u00edch […]<\/p>\n","protected":false},"author":2,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_mi_skip_tracking":false,"tdm_status":"","tdm_grid_status":""},"categories":[157],"tags":[],"yoast_head":"\n