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NCERT Solutions for Class 12 Maths, Chapter 8 - Application of Integrals

In earlier classes, you have studied how to calculate the areas of different geometrical
shapes and figures such as circles, triangles, rectangles, trapeziums and more. However,
at times we need to find the areas of those geometrical figures which are enclosed by
curved lines, unlike simple shapes. Here, integrals come into the picture!
Integrals are used to find areas under simple curves, areas between lines, arcs of the
circles, ellipses and parabolas. In NCERT Solutions for Class 12 Maths Application of Integrals, you’ll study how to find the areas of figures surrounded by curves.

Integrals are very useful for professionals like engineers, scientists and economists.
Thus, integrals impact our day to day lives, without us realising it.

Let’s take a look at topics and sub-topics of Class 12 Maths, Chapter 8, Application of Integrals

8.1 Introduction
8.2 Area under Simple Curves
8.3 Area between Two Curves

In Class 12 Maths Chapter 8, you will learn – 

Section 8.2 – In this section, you’ll learn how to find the areas of the regions bounded
by a line and a parabola, a line and a circle, a line and an ellipse.

Section 8.3 – In this section, you’ll learn how to find areas of the regions bounded by
curves or two parabolas or areas between the circle and the parabola or between two

For better understanding, examples & solutions are provided along with notes and
several activities. To know more about the Class 12 Maths Chapter 8 Application of
Integrals, you should explore the exercises below. You can also download the
Application of Integrals Class 12 NCERT Solutions PDF, solved by expert Maths

Also, solve Class 12 Maths Chapter 8 Miscellaneous Exercises to get in-depth
knowledge about Integrals.

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