WolframAlpha is confusing me. I'm working on two different integral problems, and with each one, for some reason, Wolfram switches the signs of the answer.
- http://www.wolframalpha.com/input/?i=integral+dx/(x^.5(x-1))
- http://www.wolframalpha.com/input/?i=integral+(x-1)/(x^2-4)
For the first one, they get $\log[1 - \sqrt{x}] - \log[(1 + \sqrt{x})]$ (see under alternate forms, thats the one I'm using).
However, I get: $\log[\sqrt{x}-1] - \log[(\sqrt{x}+1)]$ And so it differs by a sign, but its really bothering me, since I'm sure I'm doing it right. And the same applies to the second one:
They get: $3/4 \log(-x-2)+1/4 \log(x-2)$
I get: $3/4 \log(x+2)+1/4 \log(x-2)$
And so it differs by a sign again. (If this is a common mistake, then maybe you can point it out, but if this is just me and you can't see where I could have gone wrong, I can list my steps)