CBSE Class 12 Maths Notes Chapter 8 Application of Integrals – Related Links
Integrals used to find the area of a curved region
Integrals are the functions which satisfy a given differential equation for finding the area of a curvy region y=f(x), the x-axis and the line x=a and x=b(b>a) is represented through this formula:
Area=
If curvy region is x=
Area=
Area Bounded By Two Curves
If the dimensions of two curves are y=f(x), y=g(x) and lines x=a and x=b is represented by the formula:
If f(x)
| Also Access |
| NCERT Solutions for Class 12 Maths Chapter 8 |
| NCERT Exemplar for Class 12 Maths Chapter 8 |
Important Questions:
1. The area bounded by the curve p = y | y | , x-axis and the ordinates y = – 1 and y = 1 is given by
(A) 0
(B)1/3
(C)2/3
(D)4/3
2. Using the method of integration, find the area of the region bounded by lines:
3y + z = 5, 4y – z = 6 and y – 4z + 6 = 0
3. Find the area bounded by curves {(x, y) : y ≥
4. Find the area of the region enclosed by the parabola
5. Using integration, find the area of a region bounded by the triangle whose vertices are (– 2, 1), (0, 4) and (4, 3).
Also, Read
| Integral Calculus | Indefinite Integrals |
Frequently Asked Questions on CBSE Class 12 Maths Notes Chapter 8 Application of Integrals
What is calculus?
The branch of mathematics is concerned with the calculation of instantaneous rates of change (differential calculus) and the summation of infinitely many small factors to determine some whole (integral calculus).
What are the real-life uses of integrals?
In real life, integrations are used in various fields, such as engineering, where engineers use integrals to find the shape of the building.
What are the uses of differential calculus?
1. Statistics 2. Data evaluation 3. Credit card/debit card calculations 4. Space technology 5. Mechanical/civil engineering industries
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