The equation of the curve is  y = f(x). The tangents at  $[1,\mathrm{f}(1\left)\right],[2,\mathrm{f}(2\left)\right]\text{ and }[3,\mathrm{f}(3\left)\right]$  make angle $\frac{\mathrm{\pi }}{6},\frac{\mathrm{\pi }}{3},\frac{\mathrm{\pi }}{4}$respectively, with the positive direction of x-axis, then ${\int }_2^3 {\mathrm{f}}^{\mathrm{\prime }}\left(\mathrm{x}\right){\mathrm{f}}^{\prime \prime }\left(\mathrm{x}\right)\mathrm{dx}+{\int }_1^3 {\mathrm{f}}^{\prime \prime }\left(\mathrm{x}\right)\mathrm{dx}=$