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342

Part of 2008 Today's Calculation Of Integral

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Today's calculation of Integral 342

Source: 1985 Gakusyuin Univesrity entrance exam/Literature

6/12/2008
Prove the following inequality. \left(\int_0^1 (x^2\plus{}px\plus{}q)\ dx\right)^2\leq \int_0^1 (x^2\plus{}px\plus{}q)^2\ dx\minus{}\frac{1}{180}
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