The area between the ellipse and its director circle is ______ .
163 π
7π
19π
3π
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
2e2x
e2x
None of these
∫(tanx+cotx)dx equals
sec2x+cosec2x+c
log|sin2x|+c
log|cotx|+c
log|tanx|+c
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
log tan x
ex tan (x/2)
Sin (log x)
ex cot x
The area between the ellipse and its auxillary circle is _________ .
πb(a-b)
2πa(a-b)
πa(a-b)
2πb(a-b)
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
x/2 sin [(log x) + cos (log x )]
x/2 [cos (log x) - Sin (log x)]
x/2 [Sin (log x) - cos (log x ) ]
- cos (log x)- 1/x
