Inegalitate integrala 2

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Laurentiu Tucaa
Thales
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Inegalitate integrala 2

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Fie \( f:[0,1]\rightarrow\mathbb{R} \).Sa se arate ca \( \int_0^1 f(x)dx\int_0^1 x^4f(x)dx\le\frac{4}{15}\int_0^1 f^2(x)dx \).
Marius Mainea
Gauss
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