aniq integral hisoblash

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slayd 1 shahrisabz davlat pedagogika instituti maktabgacha ta’lim yo’nalishi 3-22 guruh talabasi zamonova lazizaning matematika fanidan tayyorlagan mustaqil ishi aniq integralni hisoblash usullari. aniq integralning tatbiqlari o’quv moduli birliklari: 1) aniq integralda o’zgaruvchini almashtirib integrallash. 2) aniq integralni bo’laklab integrallash. 3) aniq integral yordamida tekis figuralarning yuzalarini hisoblash. teorema. agar funksiya kesmada uzluksiz, bo`lib, funksiya funksiyaning o`zgarish sohasida uzluksiz bo`lsa, ushbu tenglik o`rinli bo`ladi. 1-misol. integralni hisoblang. ychish: obrazets teksta vtoroy uroven tretiy uroven chetvertiy uroven pyatiy uroven bo`laklab integrallash formulasi 2-misol. integral hisoblang. yechish. . d soha yuqoridan egri chiziq, quyidan egri chiziq, hamda yon tomonlaridan va to`g`ri chiziqlar bilan chegaralangan bo`lsin. bunday shaklning yuzi quyidagi formula yordamida topiladi: obrazets teksta vtoroy uroven tretiy uroven chetvertiy uroven pyatiy uroven 3-misol. va chiziqlar bilan chegaralangan figuraning yuzini hisoblang. yechish. obrazets teksta vtoroy uroven tretiy uroven chetvertiy uroven pyatiy uroven 4-misol. ox o`q va sikloidaning bir arkasi bilan chegaralangan yuzini hisoblang. …

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in image31.wmf oleobject28.bin image32.png ( ) ()(()) fxdxfttdt jj ¢ = òò ( ) t j ¢ [ ] , ab ( ) ( ) b , a = = b j a j ) x ( f ( ) t j ( ) ( ) ( ) () b a fxdxfttdt b a jj ¢ = òò ò - 1 0 2 1 dx x 1 1 2 02 22 2 00 sin,0,0 1 cos,1, 2 11sin2 2 cos(1cos2) 2224 0 xtxt xdx dxtdtxt t tdttdtt pp p p p === -== === æö ==+=+= ç÷ èø ò òò ududu jjj =×- òò ò ò - × = b a b a u d a b u d u j j j ò - 1 0 dx xe x 11 00 , 1 0 , xxx xx uxdudx xedxxeedx dedxe jj --- -- == ==-+= ==- òò e e …

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slayd 1 shahrisabz davlat pedagogika instituti maktabgacha ta’lim yo’nalishi 3-22 guruh talabasi zamonova lazizaning matematika fanidan tayyorlagan mustaqil ishi aniq integralni hisoblash usullari. aniq integralning tatbiqlari o’quv moduli birliklari: 1) aniq integralda o’zgaruvchini almashtirib integrallash. 2) aniq integralni bo’laklab integrallash. 3) aniq integral yordamida tekis figuralarning yuzalarini hisoblash. teorema. agar funksiya kesmada uzluksiz, bo`lib, funksiya funksiyaning o`zgarish sohasida uzluksiz bo`lsa, ushbu tenglik o`rinli bo`ladi. 1-misol. integralni hisoblang. ychish: obrazets teksta vtoroy uroven tretiy uroven chetvertiy uroven pyatiy uroven bo`laklab integrallash formulasi 2-misol. integral hisoblang. yechish. . d soha yuqoridan egri chiziq, quyidan egri chiziq, ...

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