Word Count : 274

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The Mean Value Theorem for Integrals states that if \( f(x) \) is continuous on the interval \( [a, b] \), then there exists a point \( c \in [a, b] \) such that: \[ \int_{a}^{b} f(x) \, dx = f(c) \cdot (b - a) \] Now, to apply this theorem to the given ______ _________ _______ ___ ___.
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