MathDB

Today's Calculation of Integral 57

Source: 1996 Gakusyuin University

June 29, 2005

calculusintegrationtrigonometrycalculus computations

Problem Statement

Find the value of

n\in{\mathbb{N}}

satisfying the following inequality.

\left|\int_0^{\pi} x^2\sin nx\ dx\right|<\frac{99\pi ^ 2}{100n}