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)
Consider the function defined implicity by the equation y2−2yesin−1x+x2−1+[x]+e2sin−1x=0(where [x] denotes the greatest integer function).
The area of the region of curve and line x=0andx=21 is
If the curve y=ax1/2+bx passes through the point (1,2) and lies above the x-axis for 0≤x≤9 and the area enclosed by the curve, the x-axis, and the line x=4 is 8 sq. units. Then