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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 $

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

Integration Techniques

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Campbell University

Harvey Mudd College

Baylor University

Boston College

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