Let Ar be the area of the region bounded between the curves y2=(e−kr)x(where k>0,r∈N) and the line y=mx(where m=0), k and m are some constants
n→∞limi=1ΣnAi=48(e2k−1)1 then the value of m is
The area (in square units) bounded by the curves y=x,2y−x+3=0, x-axis, and lying in the first quadrant is
The area bounded by the curve y=xe−x,y=0andx=c, where c is the x-coordinate to the curve's inflection point, is
Given f(x)=0∫xet(logesect−sec2t)dt,g(x)=−2extanx, then the area bounded by the curves y=f(x)andy=g(x) between the ordinates x=0andx=3π, is (in sq. units)
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.