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Posted: **Sun Mar 07, 2010 8:35 pm**

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

Posted: **Sun Mar 07, 2010 8:47 pm**

Inegalitate integrala 2