Page 1 - CH-8(xii) ,WORKSHEETS

WORKSHEETS (xii)

APPLICATION OF INTEGRALS.

CHAPTER- 8

1. Area bounded by the curve y = sin x and the x-axis between x = 0 and x = 2π is
(a) 2 sq units
(b) 0 sq units
(c) 3 sq units
(d) 4 sq units

2
2. Area of the region bounded by the curve y = √49 − and the x-axis is
(a) 492π sq units
(b) 98π sq units
(c) 49π sq units
(d) 240π sq units

3. Area of the region bounded by the curve x = 2y + 3, the y-axis and between y = -1 and
y = 1 is ----------

1
4. The area of the region bounded by the curve y = , the x-axis and between x = 1 to

x = 6 is ________

5. The area of the region bounded by the curve y² = x, the y-axis and between y = 2 and
y = 4 is 56/3 sq units. State true or false.

6 Find the area of the region bounded by the curve y = x² and the line y = 4

7. Find the area bounded by the curve y² = 4ax and the line y = 2a and the y-axis

2
2
8. Find the area of the region bounded by the two parabolas y = x and y = x..
2
2
9. Calculate the area of the region enclosed between the circles: x + y = 4 and
2
2
(x -2) + y = 4
10. Using integration, find the area of region bounded by the triangle whose vertices are (-1, 0)
(1, 3) and (3,