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
log cos(logx)+c
log sec(logx)+c
log sin(logx)+c
None of these
Find the area of the parabola y2 =4ax bounded by its latus rectum .
28/3 a2
32/3 a2
8/3 a2
16/3 a2
The surface area generated by revolving the curve 18y2 =x(y-x)2 about the x-axis is ________ .
4π
10π
8π
12π
1/3 x 1/3 + 2 x 1/2 +c
2/3 x 2/3+1/2 x2+c
2/3 x 3/2 +2 x 1/2 + c
3/2 x 3/2 +1/2 x 1/2+c
The area enclosed by the ellipse is ______ .
πa(a-b)
πab
π b/a
π a/b
tanx+cotx+c
tanx+cosecx+c
-tanx+cotx+c
tanx+secx+c
The area bounded by the line y=x ,the x-axis ,the ordinants x=1 , y=2 is ______ .
3/2
5/2
1/2
7/2
Find the area bounded by the curve y=Cos x between x=0 and x=2π .
1
4
3
2
The area between the ellipse and its director circle is ______ .
163 π
7π
19π
3π