The area bounded by the curve y = x | x |, x-axis and the ordinates x = – 1 and
x = 1 is given by
(A) 0
(B) 1
3
(C)
32
(D)
4
3
[Hint : y = x2 if x > 0 and y = – x2 if x < 0] 18 The area of the circle x2 + y2 = 16 exterior to the parabola y2 = 6x is
(A)
4 (4
3)
3
π −
(B)
4 (4
3)
3
π +
(C)
4 (8
3)
3
π −
(D)
4 (8
3)
3
π +
19 The area bounded by the y-axis, y = cos x and y = sin x when 0
2
x
π
≤
≤
 is
(A) 2 ( 2 1)
−
(B)
2
−1
(C)
2
+1
(D)
2
Summary
� The area of the region bounded by the curve y = f (x), x-axis and the lines
x = a and x = b (b > a) is given by the formula: Area
( )
b
b
a
a
ydx
f x dx
=
=
∫
∫