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4. Let I be an interval. Suppose that (, f(x) dx and f, g(x) da be type I im- proper integrals. Prove : if f,

4. Let I be an interval. Suppose that (, f(x) dx and f, g(x) da be type I im- proper integrals. Prove : if f, f(x)dx converges and S, g(x) dx converges then S, (f(x) + g(x)) dx converges

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