Today's calculation of Integral 230
Source: Oita University entrance exam/Engineering 1990
October 4, 2007
calculusintegrationlogarithmsfunctioncalculus computations
Problem Statement
Prove that \frac {( \minus{} 1)^n}{n!}\int_1^2 (\ln x)^n\ dx \equal{} 2\sum_{k \equal{} 1}^n \frac {( \minus{} \ln 2)^k}{k!} \plus{} 1.