1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Several Integrals

  1. Mar 25, 2008 #1
    1. The problem statement, all variables and given/known data
    [tex]\int[/tex][tex]\frac{xdx}{\sqrt{1-x}}[/tex]


    2. Relevant equations

    n/a

    3. The attempt at a solution
    I tried to multiple top and bottom by the conjugate:
    [tex]\int[/tex][tex]\frac{x\sqrt{1+x}dx}{\sqrt{1-x^{2}}}[/tex]

    I tried trig substitution and u-substitution, but nothing seems to work.

    I end up with -[tex]\int[/tex]cos[tex]\theta[/tex][tex]\sqrt{1+cos\theta}[/tex]

    Can anyone help me out on this? And show steps, please? Thanks so much!
     
  2. jcsd
  3. Mar 25, 2008 #2

    nicksauce

    User Avatar
    Science Advisor
    Homework Helper

    If you make a substitution u = 1-x (then x = 1-u), you now have the sum of two trivial integrals.
     
  4. Mar 25, 2008 #3
    thank you so much! oh, and sorry about the double post
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Have something to add?



Similar Discussions: Several Integrals
  1. Several Integrals (Replies: 0)

Loading...