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Today's calculation of Integral 884

Source: 2013 Shinsyu University/Medicine, Second-stage exam

July 15, 2013
calculusintegrationtrigonometryinequalitiescalculus computationsIntegral inequality

Problem Statement

Prove that : π(e−1)<∫0πe∣cos⁡4x∣dx<2(eπ2−1)\pi (e-1)<\int_0^{\pi} e^{|\cos 4x|}dx<2(e^{\frac{\pi}{2}}-1)
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