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Differentiating and integrating simple functions like $f(x)=\log(\sin(x))\log(\cos(x))$ and $f'(x)=\cot(x)\log(\cos(x))-\tan(x)\log(\sin(x))$

By ExtraProxies | Buy Fast Private Proxies | Comments are Closed | 10 November, 2017 | 0

It’s a simple, elementary thing to differentiate $ f(x)=\log(\sin(x))\log(\cos(x))$ by the well-known formulae one learns in high school, and Mathematica 9 perfectly does it. However, when integrating $ f'(x)$ , one might have the big surprise to find Mathematica 9 gives a long answer in terms of logarithms and polylogarithms with complex argument. Question: CouldRead more

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