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Integration problem

  • Thread starter Aerosion
  • Start date
  • #1
53
0

Homework Statement



(integrate: upper limit 3; lower limit 1)(dx/((x^(1/2))(x+1))

Homework Equations





The Attempt at a Solution



First of all, somebody needs to show me how to get the actual integration sign to show up on the forums.

Anyway, I was pretty confused with this one. I tried making u be x+1 and du=dx, but I was afraid this wouldn't solve for the radical x that I also had. Than I tried making u be x and du be dx, but then that wouldn't solve for the x+1 that I had. I don't think I can break this up into two different equations, so I'd like some help.
 

Answers and Replies

  • #2
2,063
2
First line of attack in such cases: Remove the radical with a "square". Try x = u2.

Btw, making the "substitution" x = u does nothing more than change the letter denoting the dummy variable.

As for getting LaTeX to work, see this thread: https://www.physicsforums.com/showthread.php?t=8997
 
  • #3
Gib Z
Homework Helper
3,346
5
After trying that x=u^2 substitution, try integration by parts.
 

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