Find the area of the curve y2 = (x-5)2 (x-6) between x=5 and x=6 .
-1
1
0
None of these
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 bounded by the parabola y2 = x and its latus rectum is _________ .
4/3
1/6
2/3
8/3
The area enclosed by the ellipse is ______ .
πa(a-b)
πab
π b/a
π a/b
cos (ex)
-cos (ex)
cos cx)-1
sinex
Find the area bounded by the curve y=Cos x between x=0 and x=2π .
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
The surface area of the solid of revolution of the region bounded by y=2x , x=0 and x=2 about x-axis is ______ .
8√5 π
2√5 π
√5 π
4√5 π
The area between the ellipse and its director circle is ______ .
163 π
7π
19π
3π
