Code:
$ \int_{[0,1]}f(x)\ln f(x)dx\geq\left(\int_{[0,1]}f(x)dx\right)\ln\left(\int_{[0,1]}f(x)dx\right)\geq\left(\int_{[0,1]}f(x)dx\right)\left(\int_{[0,1]}\ln f(x)dx\right) $
Code:
$ \int_{[0,1]}f(x)\ln f(x)dx\geq\left(\int_{[0,1]}f(x)dx\right)\ln\left(\int_{[0,1]}f(x)dx\right)\geq\left(\int_{[0,1]}f(x)dx\right)\left(\int_{[0,1]}\ln f(x)dx\right) $
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