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Sol_11 - 11 1 x 2 dx dx dt 1 1 = = cfw t = x 1 dt = dx = 2...

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ליגרת 11 הילוי בוקמרש תוידוסי היצרגטניאה תוטיש 1 : . תוילנויצאר תויצקנופ לש היצרגטניא 1 . ( 29 } { 2 2 2 1 1 1, 2 1 1 1 dx dx dt t x dt dx c c x x t t x x = = = + = = = - + = - + + + + + 2 . ( 29 ( 29 ( 29 2 2 2 2 ( 2) 4 5 4 4 1 2 1 2 1 arctan( 2) dx dx dx d x x x x x x x x c + = = = = + + + + + + + + + = + + 3 . ( 29 ( 29 2 2 2 2 2 2 2 2 2 2 2 1 2 4 1 2 2 6 1 2 2 2 2 2 2 2 2 2 2 2 2 2 1 6 1 2 2 1 6 2 2 2 2 2 2 2 2 1 1 1 2 2 1 6 1 ln( 2 2) 3 arctan( 1) 2 2 2 2 2 1 1 x x x x dx dx dx dx x x x x x x x x x dx dx dx x x x x x x x dx dx x x x c x x x + + - + - = = = + - + - + - + - + - = + = - + - + - + + - + = - + + × - + - + - + 4 . 2 2 2 1 ln( 5) 5 x dx x x c x x + = + + + + + 5 . ( 29 { } 5 2 2 2 4 4 2 2 2 2 2 2 , 2 1 1 2 1 1 1 1 arctan arctan 2 2 1 2 2 2 2 x x x x dx xdx dx dx t x dt xdx x x x x dt x x t c x c t = - = - = = = = + + + = - = - + = - + + 6 . 2 2 2 1 2 ln( 5) 5 2 5 x x dx dx x c x x = = + + + + 7 . ( 29 ( 29 ( 29 ( 29 ( 29 2 2 2 2 2 2 8 25 8 16 9 4 3 4 4 1 arctan 3 3 4 3 dx dx dx x x x x x d x x c x = = = - + - + + - + - - = = + - + 1

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ליגרת 11 הילוי בוקמרש 8 . 2 2 1 5 1 5 1 5 8 4 4 8 5 4 4 2 2 2 2 1 5 1 5 1 2 2 2 2 1 5 1 2 2 1 1 5 1 1 2 2 2 3 5 5 1 1 1 2 2 2 dx dx dx dx I x x x x x x x x A B x x x x A x B x x B B x A A = = - = - = - + - - -   - + - + ÷ ÷ ÷ ÷   = +  - + - + ÷ ÷ ÷ ÷  = + + - ÷ ÷ = - = - - = - ÷ = = + = ÷ ( 29 ( 29 ( 29 ( 29 2 3 1 1 1 1 1 5 1 5 1 5 8 4 4 12 12 2 2 2 2 2 1 1 1 1 ln 2 5 ln 2 1 ln 12 12 12 2 5 dx dx I dx dx x x x x x x x x x c c x = = - = - + = + -  - + - + ÷ ÷ ÷ ÷  + = - - + + + = + - 9 . ( 29 5 4 3 2 2 2 2 4 2 2 4 2 ( 2 ) 2 2 2 4 2 2ln 2 4 x x x x dx x x dx dx x dx x x x x x x c = - + = - + = + + + = - + + + 10 . ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 ( 29 2 2 2 2 2 2 2 2 2 1 2 2 2 4 3 6 1 3 3 3 3 4 13 4 13 4 13 2 3 2 4 3 3 3 4 13 4 4 9 2 1 11 3ln 4 13 11 3ln 4 13 arctan 3 3 2 3 x x x dx dx dx x x x x x x x dx dx x x x x x x x dx x x c x - - + - = = = - + - + - + - = + = - + - + + - = - + + = - + + + - + 2
ליגרת 11 הילוי בוקמרש 11 . ( 29 2 2 2 2 2 2 2 2 2 1 2 4 1 2 1 4 1 2 1 2 9 2 9 2 9 2 9 2 9 3 1 2 ln 9 arctan 2 3 3 x x x x dx dx dx dx dx dx x x x x x x x x c - - = = - = - = + + + + + + = + - + 12 . ( 29 ( 29 2 2 2 2 2 2 2 2 4 1 2 8 1 2 6 14 6 10 2 6 10 2 6 10 1 2 6 1 7 2 6 10 6 9 1 1 2 6 1 7 2 6 10 3 1 1 ln 6 10 7arctan 3 2 x x x dx dx dx x x x x x x x dx dx x x x x x dx dx x x x x x x c - - + - = - = - = + + + + + + + = - + = + + + + + + = - + = + + + + = - + + + + + 13 . ( 29 ( 29 1 1 1 1 ln 1 1 1 1 1 x x x dx dx dx dx x x c x x x x + - + = = - = - + + + + + + 14 . ( 29 2 2 2 2 16 16 16 1 16 4 4 4 4 1 ( 4) 16 4 16ln 4 4 2 x x x dx dx dx dx x x x x x x dx dx x x c x - + - = = + = - - - - = + + = + + - + - 15 . ( 29 ( 29 ( 29 2 2 2 2 2 2 2 2 2 2 2 1 1 1 1 1 1 1 1 1 2 2 1 2 1 2 1 2 1 1 1 ln 1 arctan 2 x x x x x x dx dx dx dx x x x x x x dx dx dx dx dx x x x x x x c + - + + + - = = + = + + + + - = + = + - = + + + = + + - + 16 .

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Sol_11 - 11 1 x 2 dx dx dt 1 1 = = cfw t = x 1 dt = dx = 2...

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