Find the area bounded by the curve f(x)=x+sinxand its inverse function between the ordinates x=0 to x=2π.
Consider two regions
R1:points P are nearer to (1,0) than to x=−1.
R2:Points P are nearer to (0,0) than to (8,0) Find the area of the region common to R1andR2.
If the area bounded by the x-axis, the curve y=f(x),(f(x)>0) and the lines x=1,x=b is equal to b2+1−2 for all b>1, then find f(x).
If f:[−1,1]→[−21,21],f(x)=1+x2x, then find the area bounded by y=f−1(x),x axis and lines x=21,x=−21.