http://www.wolframalpha.com/input/?i=integrate+1%2F%28%28x-1%29+sqrt%28x^2-2x%2B5%29%29(adsbygoogle = window.adsbygoogle || []).push({});

I have this problem, but there's no solution for it although it's definitively the hardest (people who lack common sense shouldn't write manuals). So, I decided to use wolfram, but it doesn't really help. I don't know how to substitute back s = arctan (u/2) without getting blood on my hands and have no idea where that u = 2 tan x substitution comes from because it wasn't covered in the book. There's only a substitution that's similar (u = tan (x/2)), but I digress.

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# Solve this: integrate 1/((x-1) sqrt(x^2-2x+5))

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