Partial fraction

  • Thread starter oyala
  • Start date
  • #1
3
0
Hi guys I have a question here relating integration by partial praction..


the question said what is the antiderivative of

x^2+2x-1/2x^3 +3x^2 - 2x

valid only when x > 1/2.

anyway i had poor background in math and working hard to catch up...
I dont understant why "valid only when x > 1/2".
if you integrate that indefinte integral when do you have to do to make sure relate x>1/2
 

Answers and Replies

  • #2
39
2
While the function certainly exists for many points less than 1/2, it is not continuous over the interval -inf<x<1/2 since it has three singularities (I'll let you solve for these). Thus it is best to define the domain of the function as 1/2<x<inf. Now as for the integration by partial fraction, try solving this equation for A, B and C by setting x to certain values(in order to eliminate only A, B or C):

[tex]\frac{x^{2}+2x-1}{2x^{3}+3x^{2}-2x}=\frac{A}{x}+\frac{B}{x+2}+\frac{C}{2x-1}[/tex]

Then you'll be able to integrate.
 
  • Like
Likes Nour elden
  • #3
3
0
hey thank you so much.
you explain it better than what I thought


great work !
 
  • #4
39
2
Anytime man, I appreciate the feedback.
 

Related Threads on Partial fraction

  • Last Post
Replies
5
Views
5K
  • Last Post
Replies
4
Views
2K
  • Last Post
Replies
2
Views
2K
  • Last Post
Replies
2
Views
2K
  • Last Post
Replies
12
Views
3K
  • Last Post
Replies
7
Views
3K
  • Last Post
Replies
6
Views
2K
  • Last Post
Replies
5
Views
2K
  • Last Post
Replies
3
Views
2K
  • Last Post
Replies
1
Views
2K
Top