Find the area bounded by the curve f(x)=x+sinxand its inverse function between the ordinates x=0 to x=2π.
Consider the area S0,S1,S2…. bounded by the x-axis and half-waves of the curve y=e−xsinx, where x≥0.
The value of S0 is
Let f:[0,∞)→R be a continuous function such that f(x)=1−2x+0∫xex−tf(t)dt for all x∈[0,∞). Then, which of the following statements(s) is (are)) TRUE?
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