Let f,g [a,b]→R be bounded functions andP any partition of [a,b]. -> Show that Lp(f)+Lpg)s Lplf+g) and Up(f+g)sUpf) +Up(g). Hence conclude that if f and g are integrable, then so is f+g, and the Riemann integral of f+g is equal to the sum of the Riemann integrals of f and g

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