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Homework Statement
Guess the value of the following integral when n is an arbitrary positive integer.
Evaluated from 0 to infinity: ∫30xne-x dx
Homework Equations
The Attempt at a Solution
I've evaluated the integral for values of n from 0 to 3:
n=0: 30
n=1: 30
n=2: 60
n=3: 180
The pattern appears to be that each value is n times larger than the previous value, but I have no idea how to express that mathematically.