please use Kuhn-Tucker conditions and Lagrange function to solve the task

Max f(x) = 12x1 + x2, Constraints: x2 2 Min '} J1+x? dt : x(t) = (1+5)* and X(t)) = -13+3 ti Find the extremals of the functional: 1 7[x(t),x,()]= (3? - 4x,x,t)dt, given x1(0.5) = 2, x2(0.5) = 15,x(1) = 1, 0.5 X2(1) = 1 Max f(x) = 12x1 + x2, Constraints: x2 2 Min '} J1+x? dt : x(t) = (1+5)* and X(t)) = -13+3 ti Find the extremals of the functional: 1 7[x(t),x,()]= (3? - 4x,x,t)dt, given x1(0.5) = 2, x2(0.5) = 15,x(1) = 1, 0.5 X2(1) = 1