The area bounded by the parabola y2 = x and its latus rectum is _________ .
4/3
1/6
2/3
8/3
Find the area bounded by the curve y=Cos x between x=0 and x=2π .
1
4
3
2
The area of the region bounded by the line 3x-5y-15 = 0 , x=1 , x=4 and x axis .
2/9
-2/9
9/2
-9/2
The surface area generated by revolving the curve 18y2 =x(y-x)2 about the x-axis is ________ .
4π
10π
8π
12π
Find the area of the region bounded by the line x-2y-12=0 and y-axis , y=-1 and y=-3 .
15
17
18
16
The area enclosed by the ellipse is ______ .
πa(a-b)
πab
π b/a
π a/b
The area of one loop of the curve y2 =x2 (9-x2) is _______ .
2√3
9
4√3
The area bounded by the parabola y2 = 2x and the ordinates x = 1 and x = 4 is _______ .
√3/5
13√3/5
5√3/16
14√2/3
The area of the region bounded by the graph of y = Sin x and y = Cos x between x = 0 and x = π / 4 is ______ .
√2 +1
-√2 + 1
2√2 - 2
2√2 +2
The area bounded by the curve y(1+x2)=1 and the lines x=0 , x=1 and y=0 is ______.
π/4
π/2
π
log 2
