Hey guys i am working on a calculus problem and it requires me to use analytical solution, trapezoidal numerical integration, simpson's rule, lobatto quadrature and global adaptive quadrature. I keep getting errors and i have no idea what i am doing incorrect. Could someone help me write the code for this? Thanks.
Problem: f(x)= integral sign(5+1/sqrt(1-x^2)). Upper bound of integral sign is 1/2 and lower bound of integral sign is 0.
% Integrating using different commands
x=0:0.1:1/2;y=(5+1/sqrt(1-x^2));format long% Analytical Solution
A0=(5+1/sqrt(1-x^2))% Trapezoidal Numerical Integration
A1= trapz(x,y)% Simpson's Rule
A2= quad('sqrt(1-x^2'x(1),x(end))% Lobatto Quadrature
A3=quadl('sqrt(1-x^2'x(1),x(end))% Global Adaptive Quadrature
A4=integral(intfun,x(1),x(end))
Best Answer