1. The problem statement, all variables and given/known data Guess the value of the following integral when n is an arbitrary positive integer. Evaluated from 0 to infinity: ∫30xne-x dx 2. Relevant equations 3. 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.