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

**Summary**

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

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

Â·
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 =

Â·
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 =

Â·
The area between the two given curves y=f(x) and y=g(x)
from x = a to x = b , is ^{a}âˆ«_{b} ( f ( x) âˆ’ g ( x)) dx.

Â·
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,

Â· Total sale

Â· Elasticity of demand is

Â· Total inventory carrying cost

Â·
Amount of annuity after N Payment is A

Â·
Cost function is C = âˆ« ( MC) dx + k.

Â·
Average cost function is AC = C/x , x â‰ 0

Â·
Revenue function is R = âˆ«( MR )dx + k.

Â·
Demand function is P = R/x

Â·
Profit function is =MRâ€“MC = R â€²( x) âˆ’ C â€²( x)

Â· Consumerâ€™s surplus

Â· Producerâ€™s surplus

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

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

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