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im in the middle of proving that if f and g are integrable functions then show that fg is also integrable

im up to trying to show that M_i(fg,P)-m_i(fg,P) is less than or equal to something that involves U(f,P)-L(f,P)<e^0.5 and U(g,P)-L(g,P)<e^0.5

anybody have any ideas, if i make any improvements I will post it up

thanxs