Problem

Evaluate the indefinite integral. Illustrate, and…

04:23

Problem 42 Hard Difficulty

First make a substitution and then use integration by parts to evaluate the integral.

$ \displaystyle \int \frac{\arcsin (\ln x)}{x} dx $

Answer

$\ln x \cdot \sin ^{-1}(\ln x)+\sqrt{1-(\ln x)^{2}}+C$

Topics

Integration Techniques

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 7

Techniques of Integration

Section 1

Integration by Parts

Discussion

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Watch More Solved Questions in Chapter 7

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

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Video Transcript

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WZ

Wen Z.

Topics

Integration Techniques

Book Cover for Calculus: Early Tra…

Calculus: Early Transcendentals

Chapter 7

Techniques of Integration

Section 1

Integration by Parts

Top Calculus 2 / BC Educators

Anna Marie V.

Campbell University

Kayleah T.

Harvey Mudd College

Caleb E.

Baylor University

Joseph L.

Boston College