aniq integral va uning asosiy xossalari

DOCX 69.4 KB Free download

Page preview (5 pages)

Scroll down 👇

1703531104.docx b x x x x a n = < < < < = ... 2 1 0 [ ] i i x x , 1 - c = = ¾ ¾ ¾ ¾ ¾ ¾ ¾ ¾ ¾ ¾ ¾ ¾ ¾ ¾ ¾ ¾ ® ¾ ® b x x x a n f ,...., , 0 1 0 1 × = f a f ) ( i c f ) , 1 ( n i = i i i x c f a d = ) ( [ ] b a , ( ) i n i i x c f a d » å = 1 l = d £ £ i n i x 1 max a ( ) å = ® d n i i i x c f 1 0 lim l f [ ] b a , n i x x x …

p p p p p p p = - + - - = = + - = + - = - = = = = = ò ò x xdx x x x v xdx dv dx du x u xdx x [ ] b a , aniq integral va uning asosiy xossalari reja 1. aniq integralga keltiriladigan masalalar haqida. 2. aniq integralning ta’rifi va uning geometrik ma’nosi. 3. aniq integralning asosiy xossalari. 4. aniq integralni hisoblash. n’yuton-leybnis formulasi. aniq integralga keltiriladigan masalalar haqida. aniq integral matematik tahlilning eng asosiy amallaridan biridir. yuzalarni, yoy uzunliklarini, hajmlarni, o’zgaruvchan kuchning bajargan ishini hamda iqtisodning bir qancha masalalari aniq integralga keltiriladi. o’zgaruvchan kuchning bajargan ishi masalasi masala. material nuqta o’zgaruvchan kuch ta’sirida o’qi bo’yicha harakatlanayotgan bo’lsin. kuch ta’sirida material nuqta a nuqtadan v nuqtaga o’tganda bajarilgan ishni hisoblang. kuch ning funksiyasi bo’ladi. kesmada uzluksiz bo’lsin. yechish: kesmani nuqtalar orqali šismiy kesmalarga ajratamiz. 1-chizma. …

lash kiritamiz. ta’rif. integral yig’indining kesmaning qismiy kesmalarga bo’linish usuliga va ularda nuqtalarning tanlanishiga bog’liq bo’lmagan dagi chekli limiti mavjud bo’lsa, bu limitga funksiyaning kesmadagi aniq integrali deyiladi va simvol bilan belgilanadi. ta’rifga asosan bo’lib, funksiya kesmada uzluksiz bo’lsa, u integrallanuvchi ya’ni bunday funksiyaning aniq integrali mavjuddir. aniq integralning asosiy xossalari aniq integral quyidagi asosiy xossalarga ega: 1) chekli sondagi integrallanuvchi funksiyalar algebraik yig’indisining aniq integrali qo’shiluvchilar aniq integrallarining algebraik yig’indisiga teng, ya’ni 2) o’zgarmas ko’paytuvchini aniq integral belgisidan chiqarish mumkin, ya’ni ; 3) kesmada bo’lsa, bo’ladi; 4) kesmada tengsizlik bajarilsa, bo’ladi; 5) kesmadagi biror nuqta bo’lsa, tenglik o’rinli bo’ladi; 6) va sonlar funksiyaning kesmadagi mos ravishda eng kichik va eng katta qiymatlari bo’lsa, tenglik o’rinli bo’ladi; 7) 8) 9) bo’ladi; 10) kesmada uzluksiz bo’lsa, bu kesmada shunday bir nuqta topiladiki tengsizlik o’rinli bo’ladi. bunga o’rta qiymat haqidagi teorema deb ham aytiladi. aniq integralni hisoblash. n’yuton-leybnis formulasi. aniq integralning ta’rifiga …

m foydalanamiz. 1-misol. integralni hisoblang. yechish. . eslatma: funksiyaning boshlang’ich funksiyasini oldik, buning o’rniga ixtiyoriy boshlang’ich funksiyasini olganda ham natija bir xil bo’ladi. haqiqatan, ham bo’ladi. shuning uchun bundan keyin bo’lgan boshlang’ich funksiyani olamiz. 2-misol. integralni hisoblang: yechish; almashtirish olamiz, bo’lib, bo’lganda, bo’ladi. shunday qilib, demak, aniq integralda o’zgaruvchini almashtirilganda o’zgaruvchilar bo’yicha uning integrallash chegaralarini ham almashtirib olinsa, aniqmas integraldagidek oldingi o’zgaruvchiga qaytish kerak emas. 3-misol. integralni hisoblang. yechish: bo’laklab integrallash formulasidan foydalanamiz: image6.wmf image7.wmf image8.wmf image9.wmf image10.wmf image11.wmf image12.wmf image13.wmf image14.wmf image15.wmf image16.wmf image17.wmf image18.wmf image19.wmf image20.wmf image21.wmf image22.wmf image23.wmf image24.wmf image25.wmf image26.wmf image27.wmf image28.wmf image29.wmf image30.wmf image31.wmf image32.wmf image33.wmf image34.wmf image35.wmf image36.wmf image37.wmf image38.wmf image39.wmf image40.wmf image41.wmf image42.wmf image43.wmf image44.wmf image45.wmf image1.wmf image46.wmf image47.wmf image48.wmf image49.wmf image50.wmf image51.wmf image52.wmf image53.wmf image54.wmf image55.wmf image2.wmf image56.wmf image57.wmf image58.wmf image59.wmf image60.wmf image61.wmf image62.wmf image63.wmf image64.wmf image65.wmf image3.wmf image66.wmf image67.wmf image68.wmf image69.wmf image70.wmf image71.wmf image72.wmf image73.wmf image74.wmf image75.wmf image4.wmf image76.wmf image77.wmf image78.wmf …

aniq integral va uning asosiy xossalari - Page 5

Want to read more?

Download the full file for free via Telegram.

Download full file

About "aniq integral va uning asosiy xossalari"

1703531104.docx b x x x x a n = < < < < = ... 2 1 0 [ ] i i x x , 1 - c = = ¾ ¾ ¾ ¾ ¾ ¾ ¾ ¾ ¾ ¾ ¾ ¾ ¾ ¾ ¾ ¾ ® ¾ ® b x x x a n f ,...., , 0 1 0 1 × = f a f ) ( i c f ) , 1 ( n i = i i i x c f a d = ) ( [ ] b a , ( ) i n i i x c f a d » å = 1 l = d £ £ i n i x 1 …

DOCX format, 69.4 KB. To download "aniq integral va uning asosiy xossalari", click the Telegram button on the left.

Tags: aniq integral va uning asosiy x… DOCX Free download Telegram