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- Jan 17, 2013
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Prove the following
\(\displaystyle \int^1_0 \frac{\log^3(1-x)}{x}\, dx=-\frac{\pi^4}{15}\)
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With the substitution $\displaystyle 1-x=t$ the integral becomes...Prove the following
\(\displaystyle \int^1_0 \frac{\log^3(1-x)}{x}\, dx=-\frac{\pi^4}{15}\)