Today's calculation of Integral 325
Source: 1954 Nippon University entrance exam/Science and Technology
May 16, 2008
calculusintegrationtrigonometryinequalitiescalculus computations
Problem Statement
Prove that \ \frac {1}{3} < \int_0^1 x^{(\sin x \plus{} \cos x)^2}\ dx < \frac {1}{2}.