If A is the area bounded by the curves y=1−x2andy=x3−x, then the value of π/A is ___.
Let S be the area bounded by the curve y=sinx(0≤x≤π) and the x-axis and T be the area bounded by the curves y=sinx(0≤x≤2π),y=acosx(0≤x≤2π), and the x-axis (where a∈R+). The value of (3a) such that S:T=1:31 is___.
If (a,0), agt 0, is the point where the curve y=sin2x−3sinx cuts the x-axis first, A is the area bounded by this part of the curve, the origin and the positive x-axis. Then
Consider the area S0,S1,S2…. bounded by the x-axis and half-waves of the curve y=e−xsinx, where x≥0.
The value of S0 is
If the area bounded by the curve y=x2+1 and the tangents to it drawn from the origin is A, then the value of 3A is __.