Vault Of Euclid

Integral of ln(x) / x^2

Techniques of integration warmup

\(\int \frac{\ln x}{x^2} \, dx\)

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What you need first

Integration by parts
The power rule for integration
The derivative of the natural logarithm function

What this problem tests

Tests the ability to correctly choose u and dv for integration by parts and to carry out the subsequent integration.

This is a standard introductory problem for learning integration by parts in a first-year calculus course.

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Reduction Formula for a Rational Function core
Area Under the Curve of ln(x)/x warmup

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