Practice problem
Let I=∫01lnxln(1−x) dxI = \int_0^1 \ln{x} \ln(1-x) \; dxI=∫01lnxln(1−x)dx. What is the value of I+∑n=1∞n−2I + \sum_{n=1}^{\infty} n^{-2}I+∑n=1∞n−2?
Source: HMMT February 2008
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Type a concept, like “slope” or “photosynthesis”.
