I have to find the indefinite integral of $\frac{1}{\sin(\ln x)}$ and it seems that it doesn't work with the method used for the integral $\sin(\ln x)$. Is there anyone who can help me with this? Your help will be much appreciated. Thank you for your time.
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This is definitely not solvable with elementary means. – Parcly Taxel Jan 13 '19 at 16:48
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Is there any way of proving that this integral is not solvable? This integral is a part of an exercise for our semester university project. – we_mor Jan 13 '19 at 16:56
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Use Risch's algorithm. – Parcly Taxel Jan 13 '19 at 16:57
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According to Wolfram Alpha, it is solvable but complex. – poetasis Jan 13 '19 at 17:14
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@poetasis The question is whether hypergeometric function is acceptable for presentation of the solution. If the set of functions is unrestricted then any integral is obviously "solvable". – user Jan 13 '19 at 23:00
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@we_mor I don't know enough about it to tell you. I just wanted to give you something you could see and perhaps give you ideas for proceeding. – poetasis Jan 14 '19 at 18:04