Intergration my parts. Reduce.

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SUMMARY

The discussion focuses on the integration of the expression S P^4 e^-P DP using the method of integration by parts. The user initially applies the integration by parts formula with u = P^4 and DV = e^-P, leading to a complex expression. However, they seek clarification on a potentially simpler technique referred to as the "tabular method" of integration by parts. This method streamlines the process of repeated integration by parts, making it more efficient.

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Homework Statement



S P^4 e^-P DP


Homework Equations



My parts.


The Attempt at a Solution



I know you can do u = P^4, and DV = e^-P
Then, you get du = 4P^3 dx and V = -e^-P

-P^4 e^P + S 4P^3 e^-p dx

Now, I can just repeat that for the intergral until I get to were the P goes away, but I believe my teacher said something about an easier way. It's called reduce something. Can someone fill me in the name and how it works? Or maybe I heard wrong.
 
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