1. The problem statement, all variables and given/known data given that ∫01 xndx = 1/ n+1 for integers n [itex]\geq[/itex] 0 calculate these integrals 2. Relevant equations ∫01 (1+x+x2) dx 3. The attempt at a solution I have found the definite integral of ∫01 (1+x+x2) dx to = 1.8333.... (ie. 11/6) but all I did was use my TI-84 to find the definite integral. is it possible for me to find this solution by hand without a calculator?