A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

How to solve following integration (5x^2-1)/ x(x-1)(X+1 dx

  • This Question is Closed
  1. Castiel
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    This looks like it need to be first separated with partial fractions and then you integrate all the pieces you get. It's that thing ....=A/x + B/(x-1) + C(x+1), you get A, B and C and you have much simpler integration

  2. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Thanks Castiel. I will try and shall get back. Wondering A/x is permissible?

  3. IrishBoy123
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[\frac{5x^2-1}{x(x-1)(x+1)}\]

  4. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    IrisBoy- you are right. Pl suggest how to solve it.

  5. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    you can use partial fraction.

  6. Jhannybean
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Since you're got x, x-1 and x+1 in the DENOMINATOR, you know that somewhere you'll simplify this to a function of logs! If that helps.

  7. Jhannybean
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Oh!! what if you expanded the base and then used long division or synthetic division to simplify it a bit?

  8. Jhannybean
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \((x(x-1)(x+1)) = x(x^2-1) = x^3 - x\)

  9. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    \[\frac{ 5x^2-1 }{ x(x-1)(x+1)}=\frac{ 2 }{ (x-1) }+\frac{ 2 }{ (x+1) }+\frac{ 1 }{ x}\]

  10. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

  11. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    Great

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

    • Attachments:

Ask your own question

Sign Up
Find more explanations on OpenStudy
Privacy Policy

Your question is ready. Sign up for free to start getting answers.

spraguer (Moderator)
5 → View Detailed Profile

is replying to Can someone tell me what button the professor is hitting...

23

  • Teamwork 19 Teammate
  • Problem Solving 19 Hero
  • You have blocked this person.
  • ✔ You're a fan Checking fan status...

Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.

This is the testimonial you wrote.
You haven't written a testimonial for Owlfred.