LagrangeIntegrate.txt

The indefinite integral of Y = L_n x^n + L_n-1 X^n-1 +...+ L_1 x + L_0
        is          inty(x) = L_n /n+1 X^n+1 + L_n-1 /n X^n + L1 /2 X^2 + L_0 x
        
The definite integral from X=X_a to X = X_b
        is           inty(X_b) - inty(X_a)
        
Given the Lagrange Fit coefficients L_i  i=0..n

Lagrange(n, X, Y, L);

Integrate 

area = Lagrange.integrate(n, L, X_i);