Question
Evaluate .
Answer :
Word Count : 235
We need to evaluate the integral: \[ I = \int \frac{\ln x}{x^2}dx \] ### Step 1: Use Substitution Let: \[ u = \ln x \] Then, differentiating both sides: \[ du = \frac{dx}{x} \] Rewriting the given integral: \[ I = \int \frac{u}{x^2} dx \] Since \( ___ ___ __________ _________ ____ ________ ___ _________ ____ _________ ____.
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__________ ___.
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We need to evaluate the integral: \[ I = \int \frac{\ln x}{x^2}dx \] ### Step 1: Use Substitution Let: \[ u = \ln x \] Then, differentiating both sides: \[ du = \frac{dx}{x} \] Rewriting the given integral: \[ I = \int \frac{u}{x^2} dx \] Since \( ___ ___ __________ _________ ____ ________ ___ _________ ____ _________ ____.
___ ______ ________ ___ _________ _______ _____ _____ ______ ________.
_____ _____ _________ ___ ________.
________ __________ _______ _______ _________ ______ __________ _____ ________.
_______ _________ _______ _______ __________.
_____ ______ _________ ________ __________ ______ _______.
______ ___ ________ __________ _____ _________ _________ ____ ___ _______.
__________ ______ __________ ______ ________.
________ __________ __________ ______ ____ ________ ________ _______ __________ ___.
____ _____ _______ _________ ___ ______ ____ _______ _____.
__________ _____ _______ _________ ____ ___ _________ _________ ________ _________ ________ _____.
___ ______ ___ ______ ____ ________ ________ _________ _________ ______ _________.
__________ _____ __________ _______ ____ __________ ___ ______.
_____ ____ _____ _________ ______ ______ ______.
_____ _________ _______ ____ ___ ____ ______ ________ _____ __________.
_________ ______ _____ ___ ________ _____ _______ _________ _______ ___ _______ ________.
_____ _____ _________ ___ ____ ___ ___ ________.
________ __________ __________ _____ _______ _______ _________.
__________ _______ ______ _______ _____ __________ ______ ___.
____ _______ _______ _________ ___ __________ __________ _________ ___ ____ ________ ___.
________ _______ __________ __________ _________ ____ ______ _______ ___ ____.
__________ ___.
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