Question
Apply Bonnet Mean Value Theorem for integrals to show that
Answer :
Word Count : 355
To apply the Bonnet Mean Value Theorem for integrals to solve this inequality, we first need to recall the theorem's form: If \( f(x) \) is continuous on the interval \( [a, b] \), then there exists a point \( c \in [a, b] \) such that: \[ \int_{a}^{b} f(x) \, dx = f(c) \cdot (b - a) \] ___ _____ _____ _______ _____ ___ ____ _________ ____ __________.
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To apply the Bonnet Mean Value Theorem for integrals to solve this inequality, we first need to recall the theorem's form: If \( f(x) \) is continuous on the interval \( [a, b] \), then there exists a point \( c \in [a, b] \) such that: \[ \int_{a}^{b} f(x) \, dx = f(c) \cdot (b - a) \] ___ _____ _____ _______ _____ ___ ____ _________ ____ __________.
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