Vault Of Euclid

Integral of x^2 ln(x)

Techniques of integration warmup

\(\int x^2 \ln x \, dx\)

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What you need first

the power rule for integration
the derivative of the natural logarithm
basic algebraic simplification and factoring

What this problem tests

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

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

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