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)
int(x^n * e^x)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.