 ## Book: RD Sharma - Mathematics (Volume 2)

### Chapter: 21. Areas of Bounded Regions

#### Subject: Maths - Class 12th

##### Q. No. 22 of Exercise 21.1

Listen NCERT Audio Books to boost your productivity and retention power by 2X.

22
##### Draw a rough sketch of the curve and find the area between x - axis, the curve and the ordinates x = 0, x = π.

Given equations are: …..(i)

x - axis …..(ii)

x = 0 ……(iii)

x = …..(iv)

A table for values of is: - A rough sketch of the curves is given below: - We have to find the area of shaded region.

Required area

(the area can be found by taking a small slice in each region of width Δx, then the area of that sliced part will be yΔx as it is a rectangle and then integrating it to get the area of the whole region) (As x is between (0, ) and the value of y varies) (as ) Apply reduction formula: On integrating we get,  On applying the limits we get  Hence the area between x - axis, the curve and the ordinates x = 0, x = π is equal to square units.

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29

## Students Store ##### Stationery Store ##### Lunch Boxes ##### Hair Accessories ##### Sippers & Bottles 