I am in need of some assistance with this

\f1. Determine whether the statement is true or false. A) If f and g are continuous on [a, b], then S[f(x) + g(x)]dx = ] foxx)dx + ]g(x)dx. B) If f'and g are continuous on [a, b], then flex)sex)kx =[ joodx ][ jscodx). C) If fis continuous on [a, b], then [x f (x)dx = x] f(x)dx . D) If fis continuous on [a, b], then fxf (x)dx = x] f(x)dx . n [a, b], then f foodx - INTOax. F) All continuous functions have derivatives. G je'dx = Je'dx+fe'dx H) All continuous functions have antiderivatives. fe dex represents the area under the curve y = e" from 0 to 5