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How to prove that $intlimits_0^{pi} e^{sin^2(x)}dx > {3over2}pi$? [closed]

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up vote -1 down vote favorite 1 How to prove that $intlimits_0^{pi} e^{sin^2(x)} dx > {3 over 2}pi$ ? definite-integrals integral-inequality share | cite | improve this question edited Nov 29 at 21:56 Bernard 117k 6 37 109 asked Nov 29 at 21:52 TBox 23 3 closed as off-topic by Rebellos, Jyrki Lahtonen, amWhy, José Carlos Santos, DRF Dec 4 at 22:49...