57

Part of 2005 Today's Calculation Of Integral

Problems(1)

Today's Calculation of Integral 57

Source: 1996 Gakusyuin University

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}

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