In Java code, I need a program that finds the true answer approximation by using Gaussian Quadrature with the nodes(xi) and weights(Ai) provided in the table. True answer for the function is 0.58385316345285761300

The following is a plot of the first function f(x) = 1 - sin(1 - x) 1-sin(1-x) 1.07 0.8 0.6 0.4 0.2 - 1.0 -0.5 0.5 1.0 n [- f(x) dx ; f (x;) 1=0 n Nodes xi Weights A; 0 0.3 -0.7 +50.7 -2 +50.7 -(5-2/) (5+2) 0.3 0.7 +5/0.7) 2 +50.7 128 4 0 225 V5(5-2() | (-27 4507 -0.7 +5 70.7 -2 +50.7 (0.7 +50.7 0.3 COM The following is a plot of the first function f(x) = 1 - sin(1 - x) 1-sin(1-x) 1.07 0.8 0.6 0.4 0.2 - 1.0 -0.5 0.5 1.0 n [- f(x) dx ; f (x;) 1=0 n Nodes xi Weights A; 0 0.3 -0.7 +50.7 -2 +50.7 -(5-2/) (5+2) 0.3 0.7 +5/0.7) 2 +50.7 128 4 0 225 V5(5-2() | (-27 4507 -0.7 +5 70.7 -2 +50.7 (0.7 +50.7 0.3 COM