Today's calculation of Integral 459
Source: 2009 Kyusyu University entrance exam/Engineering 2nd Round
June 27, 2009
calculusintegrationlimitlogarithmscalculus computations
Problem Statement
Find \lim_{x\to\infty} \int_{e^{\minus{}x}}^1 \left(\ln \frac{1}{t}\right)^ n\ dt\ (x\geq 0,\ n\equal{}1,\ 2,\ \cdots).