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Fourier series for the natural logarithms of trigonometric functions can make quick work of some tricky integrals. In this post we cover two such examples. The Series The needed Fourier series ar...
The following integral is due to Ramamnujan (or so I was told). I have not been able to find a reference for it, but I imagine this would have been how it was derived. [\begin{align} \int_0^1\f...
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