Mathematics

Mathematics

Problem

While computing ∫25g(x) dx\int_2^5 g(x)\,dx, a student writes the antiderivative as G(x)+CG(x)+C. Which statement about the constant CC is correct? a) It must be added only at the upper limit, so it remains in the final answer. b) It should be chosen so that G(2)=0G(2)=0, ensuring the integral starts from zero. c) It cancels out when G(5)−G(2)G(5)-G(2) is formed, so it may be omitted. d) Its value depends on the limits of integration; different limits require different CC.

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