Integration of a vector

Hello

I have a given vector x0 and vector a1 of unknown variables. I want to get a new point x1 such that I numerically integrate function fun1(a1,x0) along vector a1 from 0 to 1. If a1 would be a sacalar it would be easy to integrate but it's a vector and I couldn't figure out how to do that. So I would like to ask if there is some function or easier way of integrating that?

Code:

x0 = [0.1; 0.2];

function res = fun1(a1,x0)

res = x0 + (((max(v(a1) - a1' * x0,0)) / (norm(x0))) * a1);

end

function res = v(a1)

res = max(a1(1,1) + a1(2,1) - 1, 0);

end

%x1 = integrate fun1 from 0 to 1

_______________

This is the part of code I'm using. It's only for 2 dimensions for now.

Thank you guys

Any help would be appreciated

Answer 1

[Marc]

Have you looked at quad() or trapz() for numerical integration?

doc trapz doc quad

Answer 2

[Paul]

yes i tried trapz,quad,integral... but still couldnt find the solution. Im fairly new to matlab so I started by integrating scalar, which is simple. But I cant get the integration over a vector to work.