∫(tanx+cotx)dx equals
sec2x+cosec2x+c
log|sin2x|+c
log|cotx|+c
log|tanx|+c
Find the area of the circle whose radius is a unit is _________ .
πa2
4πa2
πa2 /4
πa2 / 2
The area between the ellipse and its auxillary circle is _________ .
πb(a-b)
2πa(a-b)
πa(a-b)
2πb(a-b)
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
Find the area of region bounded by the triangle whose vertices are (1,0) (2,2) and (3,1).
3/2
2/3
1/3
1/2
The area bounded by the parabola y2 = x and its latus rectum is _________ .
4/3
1/6
8/3
-cot(xex)+c
tan(xex)+c
tan(ex)+c
cot(ex)+c
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
log cos(logx)+c
log sec(logx)+c
log sin(logx)+c
None of these
ex(logx-1/x)+c
ex(1/x-logx)+c
exlogx-1/x+c
1/x-exlogx+c
