irratsional funksiyalarni integrallash

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1629119178.doc ò ÷ ÷ ø ö ç ç è æ k k n m n m n m n m x x x x x r ;....... ; ; , 3 3 2 2 k k n m n m n m ;.......; 2 ; 2 1 1 x z dx sz dz s s = = - ; 1 j x dx x = + ò 1 2 3 4 1 1 2 3 4 ; ; 1 ln 3 4 3 4 | 1 | ln 3 1 4 3 4 1 4 4 1 4 1 4 1 4 1 4 1 4 3 4 3 3 3 3 2 2 3 2 2 3 5 3 3 2 4 4 3 3 2 1 4 4 3 2 1 c x x c z z z dz z dz z dz z z z z dz …

ni qaraymiz. bu integral almashtirish yordami bilan ratsional funksiyaning integraliga keltiriladi, bu yerda s bilan kasrlarning umumiy maxrajisi belgilangan. 2-misol. integralni hisoblang. yechish: kasrlarning umumiy maxrajisi 6 bo’ladi, demak, almashtirishni bajaramiz. 3-misol. integralni hisoblang. yechish : x= sint; dx= costdt almashtirishni bajaramiz. _1011503584.unknown _1011503589.unknown _1011503591.unknown _1011503595.unknown _1011503598.unknown _1011503599.unknown _1011503596.unknown _1011503594.unknown _1011503590.unknown _1011503587.unknown _1011503588.unknown _1011503585.unknown _1011503582.unknown _1011503583.unknown _1011503581.unknown

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1629119178.doc ò ÷ ÷ ø ö ç ç è æ k k n m n m n m n m x x x x x r ;....... ; ; , 3 3 2 2 k k n m n m n m ;.......; 2 ; 2 1 1 x z dx sz dz s s = = - ; 1 j x dx x = + ò 1 2 3 4 1 1 2 3 4 ; ; 1 ln 3 4 3 4 | 1 | ln 3 1 4 3 4 1 4 4 1 4 1 4 1 4 1 4 1 4 3 4 3 3 3 3 2 2 3 2 2 3 5 3 …

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