1.
Let f(x)+2f(1x)=x2+5f(x) + 2f\left(\frac{1}{x}\right) = x^2 + 5 and 2g(x)3g(12)=x2g(x) - 3g\left(\frac{1}{2}\right) = x, x>0x > 0. If α=12f(x)dx\alpha = \int_1^2 f(x) dx and β=12g(x)dx\beta = \int_1^2 g(x) dx, then the value of 9α+β9\alpha + \beta is: