Word Count : 321

---

Consider the integral [ \int_7^{10} \frac{\sin x}{x} , dx. ] Let (f(x) = \sin x) and (g(x) = \frac{1}{x}). Both functions are continuous on ([7,10]) and (g(x)) is positive and monotonic decreasing. Bonnet’s Mean Value Theorem for integrals states that if (f) is continuous and (g) is monotonic, then there exists (\xi \in [7,10]) such that [ \int_7^{10} f(x) g(x) , dx = f(7) ________ _____ ____ _____ _______ _________.
_______ ____ __________ _____ ________ ____.
______ __________ ___ ______ ______ __________ __________ ___.
___ ________ ______ __________ _________ _____.
______ ________ _____ ___ ____ _______ _______ _______ ________.
________ ____ _________ __________ ___ __________ __________.
__________ _____ ______ ___ ______ ___ ____ ________ _________.
_____ ________ _____ ______ _______ __________ ______ ___ ______ ____ _______ ______.
________ ____ _______ _______ ______ ______ _______ _________ ________ _________ __________.
__________ ________ _______ __________ ____ _________ ________ __________.
__________ ____ ________ _____ _________ _________ ___.
_______ __________ ____ ____ _________ _____ _______ ___ __________.
________ _________ _______ __________ ______ _____ _________ _______ ___ _______ ___.
______ ________ ___ _______ ______ __________ ___ ____.
_____ ______ _________ _____ ___ ________ _________ _______ ________ _______.
_________ _____ _____ ________ ________ _______ _______ __________.
________ ____ _____ ____ ________ ____ ___ __________ ____ _____ _____ ___.
______ _________ ___ ____ _______ ___ __________.
________ __________ ________ __________ __________ ___ _______ __________ _____ ___.
____ __________ _____ __________ ________ ________ __________ ______ _________.
________ ____ _______ __________ _____ _________ _______ ______.
________ ___ ____ _______ ______ _________.
__________ ___ __________ __________ __________ _________.
__________ _____ ______ _________ __________ _____ ______ _________ __________ __________ _________.
______ ________ ______ _________ _____.
___ _______ ________ ______ ________ _________ _________ __________ ___ ______ ___.
____ ______ ______ __________ ______ ____ ____ _____ _____.
___ _______ ________ _____ ________ ______ _________ _______.
_____ _____ _______ _____ ________.
____ ________ _________ _______ ____ _________ ___ ____ _________ __________ ___.
___ _______ __________ ____.
Get Full Answer on WhatsApp