[Solution] If f and g are continuous on [a, b] and if ∫_a^b f=∫_a^b g, prove that there exists c ∈ [a, b] such that


Question: If \(f\) and \(g\) are continuous on [a, b] and if \(\int_{a}^{b} f=\int_{a}^{b} g\), prove that there exists \(c \in[a, b]\) such that \(f(c)=g(c)\).

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