The area of the region containing the points (x,y) satisfy- ing 4≤x2+y2≤2(∣x∣+∣y∣) 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
Consider curves S1:∣x∣+∣y∣=a,S2:x2+y2=a2andS3: ∣x∣+∣y∣=a. If α is area bounded by S1andS2,β is area bounded by S1andS3andγ is the area bounded by S2andS3, then
Find the area of the region bounded by the curves y=x2,y=∣∣2−x2∣∣,andy=2, which lies to the right of the line x=1.
Find the area of the region bounded by the x-axis and the curves defined by y=tanx(where −3π≤x≤3π)andy=cotx(where 6π≤x≤23π).