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WZ
Numerade Educator

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Problem 51 Medium Difficulty

Use integration by parts to prove the reduction formula.

$ \displaystyle \int (\ln x)^n dx = x (\ln x)^n - n \displaystyle \int (\ln x)^{n - 1} dx $

Answer

$=x(\ln x)^{n}-n \int(\ln x)^{n-1} d x$

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Video Transcript

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