(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

[itex]\int \!{\frac {1}{x\sqrt {{x}^{2}-4}}}{dx}[/itex]

2. Relevant equations

[itex]\int \!{\frac {1}{u\sqrt {{u}^{2}-{a}^{2}}}}{du} = \frac{1}{a}{\it arcsec} \left( {\frac { \left| u \right| }{a}} \right) +C[/itex]

3. The attempt at a solution

u = x

a = 2

du = dx

[itex]\frac{1}{2}\,{\it arcsec} \frac{|x|}{2} +C[/itex]

1. The problem statement, all variables and given/known data

Wolfgram and Maple 15 convert it to arctan on the last step and I dont understand why or the logic.

[PLAIN]http://www3.wolframalpha.com/Calculate/MSP/MSP53619h6196934b27d8800001gci862h05328624?MSPStoreType=image/gif&s=36&w=443&h=386 [Broken]

1. The problem statement, all variables and given/known data

2. Relevant equations

3. The attempt at a solution

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# Intergal with use of arctan or arcsec?

Can you offer guidance or do you also need help?

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