MathDB
Today's calculation of Integral 84

Source: 1993 Kochi University Entrance exam

September 27, 2005
calculusintegrationlimittrigonometrycalculus computations

Problem Statement

Evaluate limnn0πenxsin2nx dx\lim_{n\to\infty} n\int_0^\pi e^{-nx} \sin ^ 2 nx\ dx