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WZ
Numerade Educator

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Problem 52 Medium Difficulty

Use integration by parts to prove the reduction formula.

$ \displaystyle \int x^n e^x dx = x^n e^x - n \displaystyle \int x^{n - 1} e^x dx $

Answer

$\int x^{n} e^{x} d x=x^{n} e^{x}-n \int x^{n-1} e^{x} d x$

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Video Transcript

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