Integration by partial fractions

  • Thread starter Geocentric
  • Start date
  • #1
Geocentric
15
0

Homework Statement


I am stuck on this integral.
1) (a - bx)/(a^2 + b^2 - 2abx)^(3/2)
I tried some substitutions but end up with complicated expressions. How to decompose into partial fractions when the denominator is raised to fractional powers? Can anyone please help me out???

Homework Equations





The Attempt at a Solution

 

Answers and Replies

  • #2
36,339
8,297

Homework Statement


I am stuck on this integral.
1) (a - bx)/(a^2 + b^2 - 2abx)^(3/2)
I tried some substitutions but end up with complicated expressions. How to decompose into partial fractions when the denominator is raised to fractional powers? Can anyone please help me out???
There is no point to using partial fractions in this problem. I would split this into two integrals like so:
[tex]a \int \frac{dx}{(a^2 + b^2 - 2abx)^{3/2}} -~b~ \int \frac{x dx}{(a^2 + b^2 - 2abx)^{3/2}}[/tex]

The first integral can definitely be done with an ordinary substitution. I haven't worked through the second integral, but I think it can also be done with an ordinary substitution, maybe the same one.
 

Suggested for: Integration by partial fractions

  • Last Post
Replies
4
Views
388
Replies
4
Views
322
  • Last Post
Replies
16
Views
904
Replies
8
Views
338
Replies
9
Views
387
Replies
7
Views
523
Replies
3
Views
257
Replies
10
Views
331
Replies
4
Views
534
Top