1. Dec 16, 2006 #1

   ddr

   

   1. The problem statement, all variables and given/known data
   
   4
   ∫ √x/(1+√x)
   0
   
   2. Relevant equations
   
   
   
   3. The attempt at a solution
   
   t=√x ; x=t^2 ; dx= 2t
   
   2
   ∫ (2t^2)/(1+t)
   0
   
   and now?
   thanx

    

   ddr, Dec 16, 2006
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3. Dec 16, 2006 #2

   D H

   

   Staff Emeritus

   Science Advisor

   Insights Author

   Simplify your denominator with another substitution.

    

   D H, Dec 16, 2006
4. Dec 16, 2006 #3

   neutrino

   

   Bring the 2 outside the integral and then add and subtract 1 in the numerator.

    

   neutrino, Dec 16, 2006
5. Dec 18, 2006 #4

   dextercioby

   

   Science Advisor

   Homework Helper

   Insights Author

   First subtract and then add 1 in the numerator.
   
   Daniel.

    

   dextercioby, Dec 18, 2006
6. Dec 18, 2006 #5

   NTUENG

   

   Hi ddr,
   
   Perform polynomial algebraic division and integrate the result directly.

    

   NTUENG, Dec 18, 2006

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