step 1 So we need to find the integration we have this question on x squared d x So by parts with u is

Question

$\int \frac{\ln x}{x^{2}} d x$

Name: Problem 47, Chapter 6: The Chemistry Maths Book
Uploaded: 2021-12-30T19:56:16-08:00
Duration: 1 min 20 s
Channel: John Nicolle
Description: ∫(lnx)/(x^2) d x

   $\int \frac{\ln x}{x^{2}} d x$

The Chemistry Maths Book

Erich Steiner 2nd Edition

Chapter 6, Problem 47

Instant Answer

Solved by Expert John Nicolle

12/30/2021

Step 1

We let $u = \ln x$ and $v = x^{-2}$. Show more…

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$\int \frac{\ln x}{x^{2}} d x$

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Key Concepts

Integration by Parts

Integration by parts is a technique based on the product rule of differentiation that is used to integrate the product of two functions. It is especially useful when one of the functions in the product simplifies when differentiated, such as logarithmic functions.

Indefinite Integrals

An indefinite integral represents the general antiderivative of a function. It involves finding a family of functions whose derivative is the integrand, and it always includes an arbitrary constant of integration.

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