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For questions that specifically ask for determining a closed form of equations, integrals etc.
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Is there a closed form of $\int\frac{x\ln x}{\arctan x}dx$?
Consider the integral$$\int\dfrac{x\ln x}{\arctan x}dx\label1\tag1$$While I have made some progress on computing the antiderivative, I would like to know whether or not there is a closed form of it.
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