Funksiyaning monotonlik oraliqlarini topish.
Ektremum mavjudligining zaruriy va yetarli shartlari.
Funksiyani to’la tekshirib, shaklini chizish.
Boshlang’ich funksiya va aniqmas integral.
Aniqmas integralni hossalari.
Integrallash jadvali.
Integrallash usullari: bevosita, o’zgaruvchilarni almashtirish.
Bo’laklab integrallash va trigonometrik funksiyalarni integrallash.
Bo’lаklаb intеgrаllаsh.
u vа v funksiyalаr х ning diffеrеnsiаllаnuvchi funksiyalаri bo’lsin. Bu hоldа: (uv)1=u1v+v1u, uni intеgrаllаsаk
(uv)1dх = u1v dх + uv1dх (1)
Mа’lumki (uv1)dх=uv Dеmаk (1) tеnglik quyidаgichа yozilаdi
uv = vdu+ udv yoki udv=uv - vdu.
Bu bo’laklab integrallash formulasi deyiladi.
1-misоl. intеgrаl hisоblаnsin.
Yechish.
u=х
|
Bеlgilаsh kiritаmiz
|
du=dv
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dv=sin dх
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v=-sоs х
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) =-х cоs х + = - х cоs х+sinх = -
Do'stlaringiz bilan baham: |