Determine a Reduction Formula For $\int _ { 1 } ^ { e } x ( \ln x ) ^ { n } d x$

question 221

Essay

Determine a reduction formula for $\int _ { 1 } ^ { e } x ( \ln x ) ^ { n } d x$

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Definitions:

Locum Tenens

A Latin phrase that means “to hold the place of, to substitute for.” In the health care context, a locum tenens is a physician who substitutes temporarily for another.

Substitute

A person or thing acting or serving in place of another, often temporarily or as an alternative.

Deposition

A deposition involves a live person being questioned under oath by an attorney who is party to the proceeding and takes place prior to the case going before the judge (and jury).

Under Oath

A legal condition whereby an individual promises to tell the truth in a court of law or other legal proceeding.