If A is the area in the first quadrant enclosed by the curve C: 2 x^2- y +1=0, the tangent to C at the point (1,3) and the line x + y =1, then the…

If A is the area in the first quadrant enclosed by the curve C : $\displaystyle 2 \mathrm{x}^2-\mathrm{y}+1=0$, the tangent to C at the point $\displaystyle (1,3)$ and the line $\displaystyle \mathrm{x}+\mathrm{y}=1$, then the value of $\displaystyle 60$ A is $\displaystyle \_\_\_\_$.