Integral solution

  • #1

Homework Statement



∫dr/√((1/(R+r))-(1/R))

Homework Equations





The Attempt at a Solution

 
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Answers and Replies

  • #2
gb7nash
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Is the problem [itex]\int \frac{dr}{\sqrt{(\frac{1}{R}+r)-(\frac{1}{R})}}[/itex]?

If it is, try to simplify the denominator before trying to take the integral.
 
  • #3
no,i type it wrong
∫dr/√((1/(R+r))-(1/R))
 
  • #4
Ray Vickson
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Homework Statement



∫dr/√((1/(R+r))-(1/R))

Homework Equations





The Attempt at a Solution

So, is your integral
[tex] \int \frac{dr}{\sqrt{\frac{1}{R+r}-\frac{1}{R}}} ? [/tex]
If so, re-write it by first expressing
[tex] \frac{1}{R+r}-\frac{1}{R} [/tex]
as a simple rational expression. You should end up with an integrand of the form
[tex] \sqrt{\frac{ar+b}{cr+d}}. [/tex]

RGV
 

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