Dear students, before you start revision for the chapter Integral Calculus II, first make sure you revise all the formulas and key points. Only if you are thorough with the main concepts and formulas, you can confidently work out all the sums. That said, here are the most important formulas in Integral Calculus II, Class 12 Business Maths.
You can find links to the other exercises also below.
Text Book Solutions for Integral Calculus II Exercise 3.1
Text Book Solutions for Integral Calculus II Exercise 3.2
Text Book Solutions for Integral Calculus II Exercise 3.3
Text Book Solutions for Integral Calculus II Exercise 3.4
Important Formulas and Notes in Integral Calculus II
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) 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 the 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
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:
Elasticity of demand
Total inventory carrying cost
Amount of annuity after N Payment
Cost function
Average cost function
Revenue function
Demand function
Profit function= MR–MC or;
Consumer’s surplus
Producer’s surplus
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