documentclass[handout]{beamer}
usepackage{amsmath}

begin{document}

frame{
%The theorem with a handout optional argument.
begin{theorem}only<handout>{[Second Fundamental Theorem of Calculus]}
(int_a^b f'(x)mathrm{d}x=f(b)-f(a).)
end{theorem}bigskip

%The theorem without a handout command.
begin{theorem}[Second Fundamental Theorem of Calculus]
(int_a^b f'(x)mathrm{d}x=f(b)-f(a).)
end{theorem}
}
end{document}