CBSE Class 12 Maths Chapter 8 Application of Integrals Revision Notes Download PDF

CBSE Class 12 Mathematics Chapter 8 Application of Integrals Revision Notes: With the 2024 board exams around the corner, it's time to put down the books and begin revising the topics. Mathematics is a subject that requires constant practice and thorough revision. In the final stage of the year, students are advised to revise rather than pick new topics to learn.

The CBSE Class 12 board exams are set to start from February 15, 2024, and the mathematics paper will be held on March 9. The eighth chapter in the Class 12 math books is Application of Integrals. It’s one of the most important chapters in the curriculum and holds considerable importance in the final exam as part of the calculus section.

You can check out the CBSE Class 12 Chapter 8 Application of Integrals revision notes here, along with additional study material like mind maps and multiple choice questions.

CBSE Class 12 Maths Chapter 8 Application of Integrals Revision Notes

Basic Definitions and Summary:

The CBSE Class 12 mathematics course covers various domains of calculus including integrals, derivatives and their application. In Chapter 7, Integrals, their types and more were studied.

Class 12 Chapter 8 Application of Integrals, as the name suggests, covers the use of integrals to find the area of simple curves and lines.

Area under Simple Curves

Here’s an easy and intuitive way of finding the area bounded by the curve y = ƒ(x), x-axis and the ordinates x = a and x = b.

From below figure, we can think of area under the curve as composed of large number of very thin vertical strips. Consider an arbitrary strip of height y and width dx, then dA (area of the elementary strip)= ydx, where, y = ƒ(x).

This area is called the elementary area which is located at an arbitrary position within the region which is specified by some value of x between a and b. We can think of the total area A of the region between x-axis, ordinates x = a, x = b and the curve y = f (x) as the result of adding up the elementary areas of thin strips across the region PQRSP. Symbolically, we express

View and download the full PDF for CBSE Class 12 Mathematics Chapter 8 Application of Integrals Revision notes below.

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