The figure above shows the graph of the differentiable function g and the line tangent to the graph of g at the point (3,4) . Let f be the function given by f(x)=[tex]\int\limits^x_0 g{t} \, dt[/tex]. Let h be the function with first derivative given by h'(x) = [tex]xe^{cos x}[/tex] for 0 < x < 7. If the line tangent to the graph of h at x = a is parallel to the line tangent to the graph of f at x=3, what is the value of a ?