binomial differensialni integrallash

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o‘zbekiston respublikasi oliy ta’lim, fan va innovatsiyalar vazirligi __universiteti kurs ishi mustaqil ish referat mavzu:________________ binomial differensialni integrallash binomial differensialni integrallash. ushbu ifoda binomial differensial deyiladi, bunda -ratsional sonlar. binomial differensialning integrali (2) ni qaraymiz. bu integral quyidagi hollarda ratsional funksiyaning integraliga keladi: 1)-butun son. bu holda va ratsional sonlar maxrajlarining eng kichik umumiy karralisini orqali belgilab, (2) integralda almashtirish bajarilsa, (2) integral ratsional funksiyaning integraliga keladi. 4-misol. ushbu integral hisoblansin. ◄ bu integralni quyidagicha yozib, bunda bo’lishini aniqlaymiz. integralda almashtirish bajarib bo’lishini topamiz. ravshanki, . demak, bo’lib, bo’ladi. ► 2) - butun son. bu holda (2) integralda almashtirishni bajarib bo’lishini topamiz, bunda . so’ng ning maxrajini deb almashtirishni bajaramiz. natijada (2) integral ratsional funksiyaning integraliga keladi. 5-misol. ushbu integral hisoblansin. ◄ bu integralda bo’lib, bo’ladi. shuni e’tiborga olib, berilgan integralda, almashtirishni bajaramiz. unda bo’lib, bo’ladi. ► 3) - butun son. ma’lumki, (2) integral almashtirish bilan ushbu ko’rinishga keladi. agar …

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iy bo’luvchisini orqali belgilab, (2.3.1) integralda almashtirish bajarilsa, integral ostidagi funksiya ratsional funksiyaga aylanib, (2.3.1) integral ratsional funksiyaning integraliga keltiriladi. 2) avval (2.3.1) integralda almashtirish bajaramiz. natijada (2.3.1) integral quyidagi ko’rinishni oladi. qisqalik uchun deb belgilaymiz. bu holdakasr sonning maxrajini bilan belgilab, (2.3.2) integralda almashtirish bajarilsa, natijada integral ostidagi ifoda ratsional funksiyaga aylanib, yana (2.3.1) integral ratsional funksiya integralini hisoblashga keltiriladi. 3) yuqoridagi (2.3.2) integralni quyidagicha yozib olamiz: agar keyingi integralda almashtirish bajarilsa, (2.3.1) integral ratsional funksiyaning integraliga keladi. shunday qilib, agar sonlardan bittasi yoki (u bilan bir xil bo’lgan) sonlardan bittasi butun son bo’lsa, u holda (2) integral ham chekli shaklda ifodalanadi. integrallashning bu hollari nyutonga ma’lum edi.lekin o’tgan o’rtalaridagina п. л. чебишев binomial differensiallar uchun bu hollardan boshqa chekli ko’rinishdagi integrallash hollari yo’q, deb ajoyib faktni aniqladi. 2.3.1-misol.integral hisoblansin. yechish: bu yerda bo’lganligidan integrallashning ikkinchi holiga egamiz. bunda umumiy usulga asosan deymiz, u vaqtda va hokazo. 2.3.2-misol. integralni …

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o‘zbekiston respublikasi oliy ta’lim, fan va innovatsiyalar vazirligi __universiteti kurs ishi mustaqil ish referat mavzu:________________ binomial differensialni integrallash binomial differensialni integrallash. ushbu ifoda binomial differensial deyiladi, bunda -ratsional sonlar. binomial differensialning integrali (2) ni qaraymiz. bu integral quyidagi hollarda ratsional funksiyaning integraliga keladi: 1)-butun son. bu holda va ratsional sonlar maxrajlarining eng kichik umumiy karralisini orqali belgilab, (2) integralda almashtirish bajarilsa, (2) integral ratsional funksiyaning integraliga keladi. 4-misol. ushbu integral hisoblansin. ◄ bu integralni quyidagicha yozib, bunda bo’lishini aniqlaymiz. integralda almashtirish bajarib bo’lishini topamiz. ravshanki, . demak, bo’lib, bo’ladi. ►...

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