anonymous
  • anonymous
Integration by Partial fractions question
Mathematics
chestercat
  • chestercat
I got my questions answered at brainly.com in under 10 minutes. Go to brainly.com now for free help!
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this
and thousands of other questions

anonymous
  • anonymous
\[\int\limits\limits\limits\limits_{}^{}\frac{ x ^{2}+x+2 }{ x ^{2}-1 } dx \]
anonymous
  • anonymous
Whenever I solve this I always get: A= -1 B= 2 then \[\int\limits\limits_{}^{} -\frac{ 1 }{ x+1 } + \frac{ 2 }{ x-1 } dx\] after substituting A and B and checking if I will still get the original integral, it's not the same anymore. How can I solve this integral?
anonymous
  • anonymous
did you do the long division first before u partial frac'ed it? u'll lose a few terms if you didn't do that.

Looking for something else?

Not the answer you are looking for? Search for more explanations.

More answers

anonymous
  • anonymous
No. I immediately used partial fraction. Then I need to divide this first?
anonymous
  • anonymous
yes. you'll miss a few terms if u didn't(faced this problem once in my exam==costed me 5 precious minutes)
anonymous
  • anonymous
Oh. Ok, I'll try dividing it first.
anonymous
  • anonymous
This is a bit embarrassing, but I'm not sure if I got the quotient right. When I divide the two I get the answer of 1 with a remainder of \[\frac{ x+3}{ x ^{2}-1 }\]
anonymous
  • anonymous
yeah. then proceed to partial frac it. then, after that you can integrate it.
anonymous
  • anonymous
Just to be clear, after dividing I will get this? \[\int\limits_{}^{} \frac{ x+3 }{ x ^{2}-1 }\] I will then proceed to partial fraction then integrate? Thanks!
anonymous
  • anonymous
\(\int (1+\frac{x+3}{x^2 -1})dx \) .<--this yup. You're welcome :)
anonymous
  • anonymous
Oh, I ignored the 1. Thank you very much again! :D

Looking for something else?

Not the answer you are looking for? Search for more explanations.