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## Homework Statement

i have to create a general formula for integral of (x^n * e^x) dx

using whatever method i deem appropriate. (the only way i could think of is by parts)

## Homework Equations

int(x^n * e^x)dx

int(uv')dx=uv-int(vu')dx

## The Attempt at a Solution

i used integration by parts. so. im having trouble with the uv part.

so far ive got

n!*e^x * (U) - int(e^x*n!)

U=???? something that sums up u-u'-u''-u'''... until x is to the power of 1.

i figured out the function n-(n-1)-(n-2) etc which is = n-n(n-1)/2

i think if i can manipulate it enough it can give me the solution. but idk how

really, i just need a push in the right direction. or some clues or hints or something. ps make it simple, i take a while to understand other peoples working.

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