Find the area bounded by the curve y = Cos x between x = 0 and x = 2π .
1
4
3
2
The area of one loop of the curve y2 =x2 (9-x2) is
18
2√3
9
4√3
The area between y2=4ax and y=x is
8a2 / 3
56a2/3
32a2
16a2
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 surface area generated by revolving the curve 18y2 =x(y-x)2 about the x-axis is
4π
10π
8π
12π
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
Find the area of the region bounded by the line x - 2y -12 = 0 and y-axis , y = -1 and y = -3 .
15
17
16
The area between the ellipse and its director circle is
163 π
7π
19π
3π
The area bounded by the parabola y2 = x and its latus rectum is
4/3
1/6
2/3
8/3
cos (ex)
-cos (ex)
cos cx)-1
sinex