Integration of a vector function

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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.

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Star Strider
Star Strider 2020-10-7
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
.

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