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Indefinite integral help...

by uman
Tags: indefinite, integral
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uman
#1
Jan18-08, 09:11 PM
P: 352
How can I evaluate [itex]\int\frac{dx}{\sqrt{1-2x-x^2}}[/itex] using inverse trig functions? Thanks.
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rock.freak667
#2
Jan18-08, 09:12 PM
HW Helper
P: 6,202
complete the square of the quadratic.
uman
#3
Jan18-08, 09:17 PM
P: 352
Oh... thanks.

Dang these are so hard... I wish I had the creativity to see the solution immediately like that...

rocomath
#4
Jan18-08, 09:18 PM
rocomath's Avatar
P: 1,754
Indefinite integral help...

ax^2+bx+c, a=1, factor out the negative before you complete the square if you didn't remember.
uman
#5
Jan18-08, 09:20 PM
P: 352
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?
rocomath
#6
Jan18-08, 09:21 PM
rocomath's Avatar
P: 1,754
Read read read! And do the practice problems :-]

Go here to see a variety of diff. methods.

http://www.mathlinks.ro/weblog_entry...=992552#992552
http://www.mathlinks.ro/weblog_entry...=992575#992575
http://www.mathlinks.ro/weblog_entry...=992703#992703
Gib Z
#7
Jan18-08, 11:31 PM
HW Helper
Gib Z's Avatar
P: 3,348
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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