Mastering Indefinite Integrals: Tips and Tricks for Evaluating Tricky Functions

uman
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How can I evaluate \int\frac{dx}{\sqrt{1-2x-x^2}} using inverse trig functions? Thanks.
 
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complete the square of the quadratic.
 
Oh... thanks.

Dang these are so hard... I wish I had the creativity to see the solution immediately like that...
 
ax^2+bx+c, a=1, factor out the negative before you complete the square if you didn't remember.
 
Thanks. I got the right answer after rock.freak667's hint. I just wish I were able to solve these more easily, without hints from this forum and elsewhere... does it just take lots of practice, or what?
 
Read read read! And do the practice problems :-]

Go here to see a variety of diff. methods.

http://www.mathlinks.ro/weblog_entry.php?p=992552#992552
http://www.mathlinks.ro/weblog_entry.php?p=992575#992575
http://www.mathlinks.ro/weblog_entry.php?p=992703#992703
 
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When it comes to integrals, its experience that really counts. Do as many integrals as you can, you'll soon learn the tricks of the trade.
 

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