RS Aggarwal Class 12 Area of Bounded Regions PDF
Welcome to sidclasses.in. Here we have provided RS Aggarwal Class 12 Area of Bounded Regions PDF which you can download very easily. Rs Aggarwal is a mathematics book based on NCERT with lots of questions to practice. If you have cleared your concept from NCERT maths book class 12 then now it’s time for you to go for the question of RS Aggarwal Class 12 Area of Bounded Regions PDF.
What is Area Of bounded Regions?
The area of a bounded region is a fundamental concept in mathematics that is used to measure the size of a two-dimensional shape or region. The area of a region is a scalar value that gives the size of the region in square units.
One way to calculate the area of a region is by using definite integrals. A definite integral is used to calculate the signed area between a function and the x-axis over a specific interval. The definite integral of a function f(x) over the interval [a,b] is denoted by ∫b^a f(x)dx. The definite integral can be thought of as the limit of a summation of the function’s values, multiplied by the widths of small rectangles that cover the interval of integration.
If the region is defined by two functions, say f(x) and g(x) such that f(x)≤g(x) for all x in the interval [a,b], then the area of the region can be found by finding the definite integral of the function g(x) from a to b and then subtracting the definite integral of the function f(x) from a to b. This is known as the definite integral of the difference of the functions, and it gives the area between the two functions.
Another way of finding the area of a region is by using geometric formulas. For example, the area of a rectangle is its length multiplied by its width, the area of a triangle is its base multiplied by its height divided by 2, the area of a circle is π multiplied by its radius squared, and so on.
There are also methods to find the area of a region that can’t be easily defined by equations or geometric shapes such as Monte Carlo Integration, numerical integration.
It’s important to note that the area of a region can be positive or negative, depending on whether the region is above or below the x-axis.
CH-17-Area-Bpunded-RegionsRs Aggarwal Class 12 PDF (All Chapters PDF)
| Chapter no. | chapter name | |
|---|---|---|
| 1 | Relations | Download |
| 2 | Functions | Download |
| 3 | Binary Operations | Download |
| 4 | Inverse Trigonometric Functions | Download |
| 5 | Matrices | Download |
| 6 | Determinants | Download |
| 7 | Adjoint and Inverse Of Matrix | Download |
| 8 | System of Linear Equations | Download |
| 9 | Continuity and Differentiability | Download |
| 10 | Differentiations | Download |
| 11 | Applications of Derivatives | Download |
| 12 | Indefinite Integrals | Download |
| 13 | Methods of integration | Download |
| 14 | Some Special integrals | Download |
| 15 | Integration using Partial Functions | Download |
| 16 | Definite integrals | Download |
| 17 | Area of Bounded Regions | Download |
| 18 | Differential equations and their formations | Download |
| 19 | Differential equations with variable separable | Download |
| 20 | Homogeneous Integral equations | Download |
| 21 | Linear Differential equations | Download |
| 22 | Vectors And Their Properties | Download |
| 23 | Scalar, or Dot product of Vectors | Download |
| 24 | Cross or vector products of Vector | Download |
| 25 | Product of three vectors | Download |
| 26 | Fundamental Concepts of 3D Geometry | Download |
| 27 | Straight Line in Space | Download |
| 28 | The Plane | Download |
| 29 | Probability | Download |
| 30 | Bayes’s Theorem and its Applications | Download |
| 31 | Probability Distribution | Download |
| 32 | Binomial Distributions | Download |
| 33 | Linear Programming | Download |