1. Integral usuli va uni iqtisodiy tahlilda qo‘llanilishi

Integral usul modellari

Modellar	Omillar ta’sirini aniqlash
f=xy	∆fx+∆fy=∆f
X omili ta‘siri	∆fx = ∆xy0 +^1/2∆x∆y, yoki ∆fx = ^1/2∆x(y0 +y1)
Y omil ta‘siri	∆fy = ∆yx0 +^1/2∆x∆y, yoki ∆fy = ^1/2∆y(x0 +x1)
f=xyz.	∆fx+∆fy+∆fz =∆f
X omili ta‘siri	∆fx = ^1/2∆x (y0z1+y1z0)+^1/3∆x∆y∆z;
Y omili ta‘siri	∆fy = ^1/2∆y (x0z1+x1z0)+^1/3∆x∆y∆z;
Z omili ta‘siri	∆fz = ^1/2∆z (x0y1+x1y0)+^1/3∆x∆y∆z.
f=xyzq	∆fx+∆fy +∆fz +∆fq =∆f
X omili ta‘siri	∆fx=1/6∆x*[3q0*y0*z0+y1*q0(z1+∆z)+q1*z0(y1+∆y)+z1* y0(q1+∆q)]+ ∆x*∆y*∆z*∆q / 4;
Y omili ta‘siri	1/6∆y*[3q0*x0*z0+x1*q0(z1+∆z)+q1*z0(x1+∆x)+z1*x0(q 1+∆q)]+∆x*∆y*∆z*∆q / 4;
Z omili ta‘siri	fz=1/6∆z*[3q0*x0*y0+x0*q1(y1+∆y)+y1*q0(x1+∆x)+x1* y0(q1+∆q)]+ ∆x*∆y*∆z*∆q / 4;
q omili ta‘siri	1/6∆q*[3z0*x0*y0+x0*z1(y1+∆y)+y1*z0(x1+∆x)+x1*y0(z 1+∆z)]+ ∆x*∆y*∆z*∆q / 4.

Natijaviy ko’rsatkichga omillar ta‘sirini quyidagi misollar asosida ko’rib chiqishimiz mumkin.
2.19-jadval
Mahsulot hajmi o’zgarishiga ishchilar soni va mehant unumdorligining ta’sirini tahlili

Ko’rsatkichlar	O’tgan yil	Haqiqatda	Farqi (+;-)
Ishchilar soni, kishi (X)	144	152	+8
Bir ishchi tomonidan ishlab chiqarilgan mahsulot, ming so’m (Um)	1235	1207	-28
Mahsulot hajmi, ming so’m (F)	177840	183464	+5624

Omillar ta‘sirini hisoblash quyidagicha bajariladi:
F = X * Y

1. 
   Fx=(8*1235) + ½(8*(-28))=9880+(-112)= +9768.0
   
2. 
   Fy=(-28*144)+1/2(-28*8)=-4032+ (-112)= - 4144.0 ΔF=ΔFx+ΔFy= 9768 + (-4144) = 5624.0
   

Ishchilar sonini 8 kishiga ko’payishi mahsulot hajmini 9768 ming so’mga oshirgan. Bir ishchi tomonidan ishlab chiqarilgan mahsulotni 28 ming so’mga kamayishi esa mahsulot hajmini 4144 ming so’mga kamaytirgan.
2.20-jadval
Mahsulot hajmi o’zgarishiga ishchilar soni, o’rtacha ishlangan kun hamda bir kunga to’g’ri keladigan mahsulot hajmining ta’sirining tahlili

Ko’rsatkichlar	O’tgan yil	Haqiqatda	Farqi (+;-)
Ishchilar soni, kishi (X)	203	212	+9
Bir ishchiga to’g’ri keladigan o’rtacha ishlangan kun, kishi kuni (Y)	278	270	-8
O’rtacha ishlangan bir kunga to’g’ri keladigan mahsulot hajmi, ming so’m (Z)	104	111	+7
Mahsulot hajmi, ming so’m (F)	5869136	6353640	484504

F = X * Y* Z

1. 
   Fx=(¹/₂*9)*(278*111+270*104) + ¹/₃*9*(-8)*7=+265053
   
2. 
   Fy=(¹/₂*(-8))*(203*111+104*212)) + ¹/₃ *9*(-8)*7=-178492 3. Fz=(¹/₂*7)*(203*270+212*278) + ¹/₃ *9*(-8)*7=+397943
   

ΔF=ΔFx+ΔFy+ΔFz=265053 + (-178492) + 397943 =+484504