$x.lnx^2$ integral | What is integral of x.lnx^2? | $\int x.lnx^2.dx=?$

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What is integral of ∫x.lnx^2.dx?

Solution. In this case, the factor $X$ is easy to integrate, while the factor ln $x^2$ is simplified by differentiation. This suggests that you try integration by parts with:

$\int x.lnx^2.dx=\frac{1}{2}.x^2(lnx^2-1)+C$