?Verify the reduction formula \(\int(\ln x)^{n} d x=x(\ln x)^{n}-n \int(\ln x)^{n-1} d x\).
Chapter 8, Problem 47(choose chapter or problem)
Verify the reduction formula
\(\int(\ln x)^{n} d x=x(\ln x)^{n}-n \int(\ln x)^{n-1} d x\).
Text Transcription:
int(ln x)^{n} dx = x(ln x)^{n} - n int(ln x)^{n - 1} dx
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