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អាំងតេក្រាល

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092774440

092774440 អាំងតេក្រាល ររបាៃ f x 2 12xx 4x 2 ៃិង 1 f x 2 4x 1 2x x 4x 2 x 2x 1 x 1 4x 2 x រ ោះព្បដវងដខេរកាងាងអៃុរមៃ៍រៅចរ ៃ ោះ 0 x 3 ក្ំណត់រោយ 2 2 3 3 2 x 1 L 1 f x dx dx 2 x 0 0 1 2 3 1 1 2 2 0 x x dx 3 1 13 2 2 2 2 3 2 2 x x ែូរចនោះ ព្បដវងដខេរកាងាងអៃុរមៃ៍រៅចរ ៃ ោះ 0 3 រឺ ខ. ក្ព្បដវងនៃដខេរកាងាងអៃុរមៃ៍ ររមាៃ x a t sin t y a 1 cost x x a t sin t y a 1 cost 3 0 L 2 3 ឯក្ាព្បដវង ឯក្ាព្បដវង រៅចរ ៃ ោះ 0 2 t ដែល y 0 ចំរ ោះ y 0 ររបាៃ x t a 1cost y t asin t ររបាៃព្បដវងដខេរកាងាងអៃុរមៃ៍ រៅចរ ៃ ោះ 0 2 ក្ំណត់រោយ t ដែល y 0 2 2 2 2 2 2 2 2 L x t y t dt a 1 cost a sin tdt 0 0 2 t 2a sin dt 2 0 2 t 4acos 8a 2 0 ឯក្ាព្បដវង រ ៀបរ ៀងរោយ ៖ ធែល សេងថុង 198

092774440 អាំងតេក្រាល ែូរចនោះ ព្បដវងដខេរកាងាងអៃុរមៃ៍រៅចរ ៃ ោះ 0 2 ៨៣.ក្.សៃមតថា ររមាៃ ររបាៃ f g x xf x រណ ជាអៃុរមៃ៍មាៃរែ ីរវ g x f x xf x ខ. រណ អំងរតព្កាល រិៃិតយរមើលអៃុរមៃ៍ រោយ 4 e g x t 1 J ln x dx 2 ln x f x ln x e រ ោះ ដែល y 0 រឺ ln x 1 f x 2 ln x 2x ln x 1 1 f x xf x ln x x ln x 2x ln x 2 ln x ររបាៃអំងរតព្កាលខាងរលើរៅជា ែូរចនោះ ៨៤.ក្. បង្ហា ញថា រយើងមាៃ I 4 e 4 e 1 J ln x dx 2 ln x e 4 e g e g x x 4 xf x x dx e e 4 e ln 4 e 2 3 1 e x x e e 1 J ln x dx 2 ln x I 2 3 e 1 2 du u u u 0 1 1 1 2 dx sin x sin 2x 2 3 2e e 1 sin x dx x x x 2 2 sin 2sin cos 3 2 x sin x 2 sin (1 2cos x) 3 dx L 8a ឯក្ាព្បដវង រ ៀបរ ៀងរោយ ៖ ធែល សេងថុង 199

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