The area of the region enclosed between the curves x=y2−1andx=∣x∣1−y2 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___.
Consider the area S0,S1,S2…. bounded by the x-axis and half-waves of the curve y=e−xsinx, where x≥0.
The sequence S0,S1,S2,…, forms a G.P. with common ratio
The area (in square units) bounded by the curves y=x,2y−x+3=0, x-axis, and lying in the first quadrant 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 __.