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Integral
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[1;e] kesmada 1/x funksiyaning integralini hisoblang
1
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Integrallash nima?
Boshlang'ich funksiya olish
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F(x) funksiya f(x) funksiyaga qanday funksiya bo'ladi?
Boshlang'ich funksiya
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Tekslikdagi geometrik shakllarning yuzasi aniq integral orqali qanday hisoblanadi?
Geometrik shaklni ifodalovchi funksiyadan olingan integral orqali hisoblanadi
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4sin4x ni integralini toping
-cos4x+C
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y=C O'zgarmas funksiyaning integrali nimaga teng
Cx
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Aylanma jismning hajmi aniq integral yordamida qanday hisoblanadi?
funksiya kvadratidan olingan integralni piga ko'paytmasi bilan topiladi
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Integral amaliga teskari amalni toping
Hosila
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Xosmas integrallar necha turga bo'linadi?
2
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Differensiallash nima?
Hosila olish
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y=3x^(-4)+e^x-sinx+1/x
(-x)^(-3)+e^x+cosx+ln|x|
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Integral hisobning asosiy formulasi
Nyuton-Leybnis formulasi
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[0;5] kesmada y=4 funksiyani OX o'qi atrofida aylantirishdan hosil bo'lgan jism hajmioni toping
80п
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cos2x ni integralini toping
(sin2x)/2+C
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[1;3] kesmada 2x-3 funksiyaning integralini hisoblang
2
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f(x)dx nima?
Integral ostidagi ifoda
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Integral yordamida qanday kattaliklarni hisoblash mumkin?
Sirt yuzasi, jism hajmi
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3x^2 integralini toping
x^3+C
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Integrallashning usullarini ayting
bevosita integrallash, bo'laklab integrallash, o'rniga qo'yish usuli bilan integrallash
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1/(x+2) ni integralini toping
ln(x+2)+C
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