Today's calculation of Integral 342
Source: 1985 Gakusyuin Univesrity entrance exam/Literature
June 12, 2008
calculusintegrationfunctioncalculus computations
Problem Statement
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}