Suppressing Output MATLAB

ans shows up because you call

LaplaceTransform(bla, blabla)

instead of

LaplaceTransform(bla, blabla);

(you lack a semicolon when you call the function).

exact_answer shows up because your line

exact_answer=antiderivative(b,s)-antiderivative(a,s)

lacks a semicolon as well, you should have

exact_answer=antiderivative(b,s)-antiderivative(a,s);

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