RD Sharma Solutions Class 12 Area Bounded Regions

RD Sharma Solutions Class 12 Chapter 21

The first step in finding the areas of bounded regions is to identify the region whose area is to be computed. For this, we first draw the rough sketches of the various curves which enclose the region. In order to draw the rough sketches of the curves, readers are advised to go through the appendix prior to this chapter. If f(x) be a continuous function defined on [a,b]. Then, the area bounded by the curve y = f(x), the x-axis and the ordinates x = a and x = b is given by \(\int_{a}^{b}f(x)dx \; or \; \int_{a}^{b}y\;dx\).

We will learn about the algorithm to find the area using vertical and horizontal stripes. In further exercises of RD Sharma, you will come across the method to find area between two curves using the vertical and horizontal stripes.

Practise and understand these concepts in a structured manner using the solved examples in the given RD Sharma solutions for the chapter “Area of Bounded Regions”.

Practise This Question

In the given diagram, ABCD is a rhombus.

What is the value of (x – y)?