egri chiziqli integrallar. grin formulasi

DOC 10 pages 358.0 KB Free download

10 pages

FaylHub.uz

Download via Telegram

Size 358.0 KB

File type DOC

Pages 10

Updated Dec 2025

Page preview (5 pages)

Scroll down 👇

1 / 10

mavzu: egri chiziqli integrallar. grin formulasi reja: 1. to`g`ri to`tburchаklаr fоrmulаsi. 2. trаpеsiyalаr fоrmulаsi 3. simpsоn (pаrаbоlаlаr) fоrmulаsi 4. chеgаrаsi chеksiz bo`lgаn intеgrаl 5. chеgаrаlаnmаgаn (uzlukli) funksiyadаn оlingаn хоsmаs intеgrаl. 1. to`g`ri to`tburchaklar formulasi. kesmada aniqlangan va uzluksiz bo`lgan funksiyadan olingan integralni hisoblashni ko`raylik. kesmani nuqtalar bilan uzunliklari birxil, ya`ni bo`lgan n ta teng bo`laklarga ajrataylik. bo`lsin. endi funksiyaning nuqtalardagi qiymatlarini mos ravishda deb belgilab quyidagi yig`indilarni tuzaylik. va y d c y0 y1 y2 y3 yn 0 a=x0 x1 x2 b=xn x bu yig`indilarning har biri funksiya uchun kesmada tuzilgan integral yig`indi bo`ladi. shuning uchun integralning taqribiy qiymati (1) (2) (1) va (2) formulalar to`g`ri to`rtburchaklar formulasi deyiladi. chizmadan ko`rinadiki agar musbat va o`suvchi funksiya bo`lsa, u holda (1) formula ichki chizilgan to`g`ri to`rtburchaklardan tuzilgan zinapoyasimon shaklning yuzini tasvirlaydi. (2) formula esa tashqi to`rtburchaklardan tuzilgan zinapoyasimon shaklning yuzini tasvirlaydi. bu formulalar bilan hisoblanganda qo`yiladigan xatolik n soni qancha katta …

2 / 10

gani uchun u y=f(x) d=an a2 a1 c 0 a=x0 x1 x2 xn=b x (3) (3) ga trapesiyalar formulasi deyiladi. misol. integralni n=5 da taqribiy hisoblang. yechish. = simpson (parabolalar) formulasi integralni taqribiy hisoblash talab qilinsin. buning uchun ni n=2m sondagi juft bo`lgan nuqtalar orqali bo`lakchalarga ajratib, f(x) funksiyaning bu nuqtalardagi qiymatlarini deylik. endi har bir oraliqga mos kelgan y= f(x) funksiya grafigini parabola yoyi bilan almashtiraylik. u holda egri chiziqli trapesiyaning yuzi taxminan yušoridan parabola yoylari bilan almashtirilgan bo`lakchalar yuzalarining yig`indisiga teng bo`ladi. yuqoridan parabola yoylari bilan chegaralangan shakllar yuzalarini hisoblab qo`shsak quyidagi formula kelib chiqadi: yoki n=2m bo`lgani uchun (4) (4) ga simpson yoki parabolalar formulasi deyiladi. misol. integralni n=2m=8 bo`lganda hisoblang. yechish. = demak simpson formulasidagi xatolik juda kam bo`lar ekan. eslatma. integralni (1) yoki (2) to`g`ri to`rtburchaklar formulasi yordamida taqribiy hisoblaganda quyidagi xatolik formula bilan hisoblanadi. bu yerda m1 ning kesmadagi eng katta qiymati. integralni (3) …

3 / 10

holda xosmas integralni mavjud yoki yaqinlashuvchi deyiladi. agar - chekli limit mavjud bo`lmasa, u holda xosmas integralni mavjud emas yoki uzoqlashuvchi deyiladi. agar f(x)>0 desak xosmas integralning geometrik ma`nosi chiziqlar orasidagi cheksiz soha yuzini ifodalashi chizmadan ko`rinadi. хuddi shuningdek integralni ko`rsak = y x x=a 0 x=b agar xosmas integral ko`rinishda bo`lsa, u holda quyidagi ikkita xosmas integrallar yig`indisi sifatida qaraladi = + agar o`ng tomondagi xosmas integrallarning har biri mavjud bo`lsa, u holda chap tomondagi integral mavjud bo`ladi. misol. demak xosmas integral yaqinlashuvchi ekan. 2. chegaralanmagan (uzlukli) funksiyadan olingan xosmas integral f(x) funksiya oraliqda aniqlangan va uzluksiz bo`lib, uning har qanday qismida integrallanuvchi bo`lsin embed equation.3 f(x) funksiya x=b nuqtada aniqlanmagan yoki uzulishga ega. bu holda =f(c) integralni ko`rish mumkin. ta`rif. agar chekli limit mavjud bo`lsa, bu limitga f(x) funksiyaning oraliqdagi xosmas integrali deyiladi va = ko`rinishda yoziladi. y 0 x=a x=c x= x o`ng tomondagi limit mavjud bo`lsa, …

4 / 10

o`lsa, integral ham uzoqlashuvchi bo`ladi. misol. ( o`zgarmas son). f(x)= funksiya x=0 nuqtada uzulishga ega = � embed equation.2 �� у= f (x) у=f(x) (x) _1405245068.unknown _1405245101.unknown _1405245117.unknown _1405245133.unknown _1405245141.unknown _1405245145.unknown _1405245149.unknown _1405245151.unknown _1405245153.unknown _1405245155.unknown _1405245156.unknown _1405245154.unknown _1405245152.unknown _1405245150.unknown _1405245147.unknown _1405245148.unknown _1405245146.unknown _1405245143.unknown _1405245144.unknown _1405245142.unknown _1405245137.unknown _1405245139.unknown _1405245140.unknown _1405245138.unknown _1405245135.unknown _1405245136.unknown _1405245134.unknown _1405245125.unknown _1405245129.unknown _1405245131.unknown _1405245132.unknown _1405245130.unknown _1405245127.unknown _1405245128.unknown _1405245126.unknown _1405245121.unknown _1405245123.unknown _1405245124.unknown _1405245122.unknown _1405245119.unknown _1405245120.unknown _1405245118.unknown _1405245109.unknown _1405245113.unknown _1405245115.unknown _1405245116.unknown _1405245114.unknown _1405245111.unknown _1405245112.unknown _1405245110.unknown _1405245105.unknown _1405245107.unknown _1405245108.unknown _1405245106.unknown _1405245103.unknown _1405245104.unknown _1405245102.unknown _1405245085.unknown _1405245093.unknown _1405245097.unknown _1405245099.unknown _1405245100.unknown _1405245098.unknown _1405245095.unknown _1405245096.unknown _1405245094.unknown _1405245089.unknown _1405245091.unknown _1405245092.unknown _1405245090.unknown _1405245087.unknown _1405245088.unknown _1405245086.unknown _1405245077.unknown _1405245081.unknown _1405245083.unknown _1405245084.unknown _1405245082.unknown _1405245079.unknown _1405245080.unknown _1405245078.unknown _1405245072.unknown _1405245074.unknown _1405245076.unknown _1405245075.unknown _1405245073.unknown _1405245070.unknown _1405245071.unknown _1405245069.unknown _1405245035.unknown _1405245051.unknown _1405245059.unknown _14052

5 / 10

45063.unknown _1405245066.unknown _1405245067.unknown _1405245065.unknown _1405245061.unknown _1405245062.unknown _1405245060.unknown _1405245055.unknown _1405245057.unknown _1405245058.unknown _1405245056.unknown _1405245053.unknown _1405245054.unknown _1405245052.unknown _1405245043.unknown _1405245047.unknown _1405245049.unknown _1405245050.unknown _1405245048.unknown _1405245045.unknown _1405245046.unknown _1405245044.unknown _1405245039.unknown _1405245041.unknown _1405245042.unknown _1405245040.unknown _1405245037.unknown _1405245038.unknown _1405245036.unknown _1405245019.unknown _1405245027.unknown _1405245031.unknown _1405245033.unknown _1405245034.unknown _1405245032.unknown _1405245029.unknown _1405245030.unknown _1405245028.unknown _1405245023.unknown _1405245025.unknown _1405245026.unknown _1405245024.unknown _1405245021.unknown _1405245022.unknown _1405245020.unknown _1405245011.unknown _1405245015.unknown _1405245017.unknown _1405245018.unknown _1405245016.unknown _1405245013.unknown _1405245014.unknown _1405245012.unknown _1405245007.unknown _1405245009.unknown _1405245010.unknown _1405245008.unknown _1405245005.unknown _1405245006.unknown _1405245004.unknown [ ] b а , ) ( x f ò b a dx x f ) ( = × » 1 24 18 849548 0 8274025 , ,   1 24 18849548 08274025, , [ ] b а , b x x x x a n = a a x 1 ò 1 0 a x dx ( ) ï î ï í ì > ¥ < - = - - = - ® ® ò i uzoqlashad lsa bo' 1 agar di yaqinlasha lsa bo' 1 agar 1 …

Want to read more?

Download all 10 pages for free via Telegram.

Download full file

About "egri chiziqli integrallar. grin formulasi"

mavzu: egri chiziqli integrallar. grin formulasi reja: 1. to`g`ri to`tburchаklаr fоrmulаsi. 2. trаpеsiyalаr fоrmulаsi 3. simpsоn (pаrаbоlаlаr) fоrmulаsi 4. chеgаrаsi chеksiz bo`lgаn intеgrаl 5. chеgаrаlаnmаgаn (uzlukli) funksiyadаn оlingаn хоsmаs intеgrаl. 1. to`g`ri to`tburchaklar formulasi. kesmada aniqlangan va uzluksiz bo`lgan funksiyadan olingan integralni hisoblashni ko`raylik. kesmani nuqtalar bilan uzunliklari birxil, ya`ni bo`lgan n ta teng bo`laklarga ajrataylik. bo`lsin. endi funksiyaning nuqtalardagi qiymatlarini mos ravishda deb belgilab quyidagi yig`indilarni tuzaylik. va y d c y0 y1 y2 y3 yn 0 a=x0 x1 x2 b=xn x bu yig`indilarning har biri funksiya uchun kesmada tuzilgan integral yig`indi bo`ladi. shuning uchun integralning taqribiy qiymati (1) (2) (1) va (2) formulalar to`g`...

This file contains 10 pages in DOC format (358.0 KB). To download "egri chiziqli integrallar. grin formulasi", click the Telegram button on the left.

Tags: egri chiziqli integrallar. grin… DOC 10 pages Free download Telegram