Integral: x/1+sqrt(x)

  • Thread starter Kerbox
  • Start date
  • #1
16
0
Hey guys,

I could really use some hints on how to solve the integral [tex] \int \frac{x}{1+\sqrt{x}} dx [/tex]
I tried some substitutions, and doing some manipulations on the expression, with no solution. Any help would be much appreciated.

Regards,

Kerbox
 

Answers and Replies

  • #2
2,076
2
[tex]1+\sqrt{x} = t[/tex]
 
  • #3
16
0
yea, tried that. but I end up with an expression where x cant be canceled. unless Im missing something here.
 
  • #4
cristo
Staff Emeritus
Science Advisor
8,122
73
Post your steps, and we can see if you made a mistake.
 
  • #5
morphism
Science Advisor
Homework Helper
2,015
4
Notice that x = (t - 1)^2.
 
  • #6
you could use the residue theorem from complex analysis (I think)
 
  • #7
1,256
2
you could use the residue theorem from complex analysis (I think)

The residue theorem does not pertain to antiderivatives.
 
  • #8
Gib Z
Homework Helper
3,346
6
I helped someone else on exactly the same integral in scienceforums.net and I have a really good feeling your the same person, since your post is identical..and your username is the same >.<

Just incase..: http://www.scienceforums.net/forum/showthread.php?t=24664

My name in scienceforums.net is Ragib btw.
 

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