Question
State Bonnet’s mean value theorem for integrals. Apply it to show that:
Answer :
Word Count : 265
Bonnet’s 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, we are asked to apply this theorem to _______ ___ ____ ____ _______ _______ _________.
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Bonnet’s 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, we are asked to apply this theorem to _______ ___ ____ ____ _______ _______ _________.
_____ __________ ________ ______ _______ ________ ___ _______ ____ _________ _____ ____.
_________ ______ _______ _________ _________ _______ ____ _________ ____.
_______ ___ _________ __________ ______ ____ __________ ______ ____ _______ _______ ____.
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