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

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

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

Calculus 2 / BC

Chapter 7

Techniques of Integration

Section 1

Integration by Parts

Integration Techniques

Harvey Mudd College

Baylor University

University of Michigan - Ann Arbor

Idaho State University

Lectures

01:11

In mathematics, integratio…

06:55

In grammar, determiners ar…

06:16

First make a substitution …

02:50

03:32

02:27

Evaluate the integrals by …

03:11

05:18

03:15

02:15

05:20

Evaluate the integral.

04:14

Evaluate $\int \sin x \ln …

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In mathematics, integration is one of the two main operations in calculus, w…

In grammar, determiners are a class of words that are used in front of nouns…

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

Evaluate the integrals by using a substitution prior to integration by parts…

First make a substitution and then use integration byparts to evaluate t…

$ \displaystyle \int (\arcsin x)^2 dx $

Evaluate $\int \sin x \ln (\sin x) d x .$ Hint: Use Integration by Parts as …