The pdf contains multiple type questions on the topic APPLICATION OF INTEGRALS .
The pdf contains the most important questions and covers all the topics in depth.
Answers have been also given on the last page.
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 Area of the region bounded by the curve and the x-axis is---
(a) 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 -----
(a) 4 sq units (b) sq units
(c) 6 sq units (d) 8 sq units
4 The area enclosed by the circle x2 + y2 = 8 is –
(a) 16 π sq units (b) 2 2 π sq units
(c) 8 π sq units (d) 8π2sq units
5 The area bounded between the curves y2 = 6x and x2 = 6y is ----
(a) 6 sq units (b) 12 sq units
(c) 36 sq units (d) 24 sq units
6
The area bounded by the y-axis, y = cos x and y = sin x, 0 ≤ x ≤ is ---
(a) sq. units (b) sq. units
ZIET, BHUBANESWAR Page 1
, (c ) sq. units (d) sq. units
7
If the area bounded by the curves y2 = 4ax and y = mx is , then the value of m is---
(a) 2 (b) –2
(c) (d) 7
8 The area enclosed within the curve |x| + |y| = 1 is ---
(a) 21 sq. units (b) 1.5 sq. units
(c) 2 sq. units (d) 20 sq. units
9 The area bounded by the curve x2 = 4y and the straight line x = 4y – 2 is ----
(a) sq. units (b) sq. units (c) sq. units
(d) sq. units
10 2 2
y x x y
The area of the smaller region between the ellipse 2 + 2 = 1 and the line + =1 in
a b a b
first quadrant is –
(a) sq. units (b) sq. units
(c) π ab sq. units (d) sq. units
11 The area enclosed by the circle x2 + y2 = 16 is ------
(a) 20 sq. units (b) 20 π sq. units
(c) 16 π sq. units (d) 256 π sq. units
12 Area of the region in the first quadrant enclosed by the x-axis, the line y = x and the
circle x2 + y2 = 32 is ---
(a) 16 π sq. units (b) 4 π sq. units (c) 32 π sq. units
(d) 20π sq. units
ZIET, BHUBANESWAR Page 2
, Area of the region bounded by the curve y2 = 4x, y-axis and the line y = 3 is -
13
(a) 2 sq. units (b) sq. units
(c) sq. units (d) sq. units
14 The area of the region bounded by the parabolas y = x2 and y2 = x is --
(a) sq. units (b) sq. units (c) sq.
units (d) sq. units
15 Area of the region bounded by the curve y = cos x between x = 0 and x = 2π is ----
(a) 4 sq. units (b) 3 sq. units
(c) 2 sq. units (d) 1 sq. units
Q16. The area included between the parabolas y2 = 2x and x2 = 2y in sq.units is
2 4 8 16
(a) (b) (c) (d)
3 3 3 3
Q17. Area of the region bounded by the curve y2 = 4x,y − axis and the line y = 3 in sq.units
is
3 4 9 16
(a) (b) (c) (d)
4 3 4 3
Q18 The area bounded by the curve y = ex,the x-axis and between the lines x = − 2 ,and
+1 − 1
x = 1 is ek sq.units,then value of k is
ek
(a) -1 (b) 1 (c) 2 (d) -2
Q19 The area enclosed by the curve y = cos2x,the lines x = 0,x = π and the x-axis in
sq.units is
π π π π
(a) 2 (b) 3 (c) 4 (d) 6
ZIET, BHUBANESWAR Page 3
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