461

Part of 2009 Today's Calculation Of Integral

Problems(1)

Today's calculation of Integral 461

Source: 2009 Ohita University entrance exam/Medical

Let I_n\equal{}\int_0^{\sqrt{3}} \frac{1}{1\plus{}x^{n}}\ dx\ (n\equal{}1,\ 2,\ \cdots). (1) Find

I_1,\ I_2

\lim_{n\to\infty} I_n

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