Problem

Evaluate the integral. $ \displaystyle \int_0^…

02:45

Problem 32 Hard Difficulty

Evaluate the integral.

$ \displaystyle \int_1^2 \frac{(\ln x)^2}{x^3} dx $

Answer

$-\frac{1}{2} \ln \frac{1}{2}+\left(\frac{1}{2}-1\right)=\frac{1}{2} \ln 2-\frac{1}{2}$

Related Courses

Calculus 2 / BC

Calculus: Early Transcendentals

Chapter 7

Techniques of Integration

Section 1

Integration by Parts

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Video Transcript

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Wen Z.

Related Courses

Calculus 2 / BC

Calculus: Early Transcendentals

Chapter 7

Techniques of Integration

Section 1

Integration by Parts

Problem

Evaluate the integral. $ \displaystyle \int_0^…

Problem 32 Hard Difficulty

Evaluate the integral.

$ \displaystyle \int_1^2 \frac{(\ln x)^2}{x^3} dx $

Answer

$-\frac{1}{2} \ln \frac{1}{2}+\left(\frac{1}{2}-1\right)=\frac{1}{2} \ln 2-\frac{1}{2}$

Related Courses

Calculus: Early Transcendentals

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Discussion

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Video Transcript

Calculus: Early Transcendentals

Catherine R.

Anna Marie V.

Samuel H.

Joseph L.

Integration Review - Intro

Definite vs Indefinite