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Several Integrals

  • Thread starter noblerare
  • Start date
47
0
1. Homework Statement
[tex]\int[/tex][tex]\frac{xdx}{\sqrt{1-x}}[/tex]


2. Homework 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!
 

Answers and Replies

nicksauce
Science Advisor
Homework Helper
1,272
5
If you make a substitution u = 1-x (then x = 1-u), you now have the sum of two trivial integrals.
 
47
0
thank you so much! oh, and sorry about the double post
 

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