101

Part of 2006 Today's Calculation Of Integral

Problems(1)

Today's calculation of integral 101

Source: Osaka Institute of technology entrance exam 1985

Thank you very much, vidyamanohar. I will continue to post problems. For

n>2,

prove the following inequality.

\frac{1}{2}<\int_0^{\frac{1}{2}} \frac{1}{\sqrt{1-x^n}} dx<\frac{\pi}{6}.

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