Integral Calculus - II - Summary | 12th Business Maths and Statistics : Chapter 3 : Integral Calculus - II

Chapter: 12th Business Maths and Statistics : Chapter 3 : Integral Calculus - II

Summary

The area of the region bounded by the curve y = f ( x) between limits x = a and x = b

Summary

 

·           The area of the region bounded by the curve y = f ( x) between limits x = a and x = b with x –axis if area lies above x-axis is = .

 

·           The area of the region bounded by the curve y=f(x)x between the limits x = a  and x = b with x − axis if area lies below x − axis is = 

 

·           The area of the region bounded by the curve x = g(y) between te limits y = c and y = d with y - axis if the area lies to the right of y- axis is = 

 

·           The area of the region bounded by the curve x = g ( y) between the limits y=d and y=e with y-axis if the area lies to the left of y- axis is = 

 

·           The area between the two given curves y=f(x) and y=g(x) from x = a to x = b , is ab ( f ( x) − g ( x)) dx.

 

·           If the rate of growth or sale of a function is a known function of t say f(t) where t is a time measure, then total growth (or) sale of a product over a time period t  is given by,


·           Total sale  

·           Elasticity of demand is   

·           Total inventory carrying cost 

·           Amount of annuity after N Payment is A


 

·           Cost function is C = ∫ ( MC) dx + k.

 

·           Average cost function is AC = C/x , x ≠ 0

 

·           Revenue function is R = ∫( MR )dx + k.

 

·           Demand function is P = R/x

 

·           Profit function is =MR–MC = R ′( x) − C ′( x)

·           Consumer’s surplus 

·           Producer’s surplus 

 

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12th Business Maths and Statistics : Chapter 3 : Integral Calculus - II : Summary | Integral Calculus - II

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12th Business Maths and Statistics : Chapter 3 : Integral Calculus - II


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