Integration of a vector function

I attached a picture of the integration that i need to do, I have tried the trapz and cumtrapz functions but I can not get them to do the definite integral of these functions, they also do not find the correct integrated values from the equation. I have also tried to integrate each one individually and use the bounds from 0 to 4, and add them back together. This does not work because it can't integrate the number by itself. Thanks for your help.

Answer 1

[Star Strider]

Perhaps:

Result = integral(@(t) sin(t).*[1 0 0] + 6*[0 1 0] + 4*t*[0 0 1], 0, 4, 'ArrayValued',1)

That runs without error, and produces:

Result =
       1.6536           24           32

.