% This file inputs a final time value and a Tolerance 
% then calls an adaptive quadrature function to integrate f(t)
T = input('Input an end time between 0 and 1: ');
TOL = input('Input a tolerance value for desired accuracy: ');
t_s = adapquad(f_t,0,T,TOL);
disp(['The arc length from t=0 to t= ',num2str(T),' is: ',num2str(t_s)])