1.
If f:RRf: \mathbb{R} \to \mathbb{R} and f(x)=sin([x]π)x2+2x+3+2x1+x(x1)+14f(x) = \frac{\sin([x]\pi)}{x^2+2x+3} + 2x - 1 + \sqrt{x(x-1)+\frac{1}{4}} (where [x][x] denotes integral part of xx), then f(x)f(x) is