Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

lilMissMindset

  • 2 years ago

int. dx/ (x^2 +2x+10) using partial fraction. please.

  • This Question is Closed
  1. .Sam.
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    you can't factor that

  2. .Sam.
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    best approach is to complete the square and then trig substitution

  3. wasiqss
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yehh, it will have complex factors

  4. traile
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yup

  5. shivam_bhalla
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    @lilMissMindset To complete the square x^2 +2x+10= x^2+2x+1+9 = (x+1)^2 +3^2 \[\int\limits_{}^{}\frac{dx}{(x+1)^2+3^2}\] Now complete the rest

  6. shivam_bhalla
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    Remember \[\int\limits_{}^{}\frac{dt}{x^2+a^2} = \frac{1}{a} \tan^{-1}(\frac{x}{a})\]

  7. shivam_bhalla
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    You can eaily prove the above by substituting x = atan(theta)

  8. traile
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    @shivam_bhalla she said partial fraction

  9. TuringTest
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    but it cannot be done with partial fraction if it cannot be factored

  10. wasiqss
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    traile , it willl become very complex then

  11. lilMissMindset
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yeah, im supposed to use that, partial fraction

  12. shivam_bhalla
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    @LOL, whjy do you want to complicate things when there is a aeasier method available. If you still insist on partial fraction, then it is fine

  13. wasiqss
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    lil miss it will only have complex factors

  14. TuringTest
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    there is either a typo, or it's impossible

  15. shivam_bhalla
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    *why

  16. TuringTest
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    I mean that using partial fractions is impossible... or at least redundant

  17. lilMissMindset
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    what am i going to do about this problem then?

  18. shivam_bhalla
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    Take x+1 = t dx=dt You still get the same thing with partial fractions too

  19. TuringTest
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    how would you do this with partial fractions? I don't see it... perhaps I am wrong though, it wouldn't be the first time :P

  20. traile
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    do you think quadratic factors can be use

  21. shivam_bhalla
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    \[\frac{1}{t^2+9} = \frac{At+B}{t^2+9}\] we see a = 0, B=1 We again get back the same thing. So partail fraction approach should be useless

  22. shivam_bhalla
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    *partial

  23. TuringTest
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    like I said then, it's just redundant

  24. TuringTest
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    by impossible, I meant that the operation is useless, as you just said

  25. wasiqss
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    you fail turing xD lol jk

  26. TuringTest
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    @lilMissMindset are you \(sure\) there isn't a typo in your post?

  27. lilMissMindset
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yea. im quite sure i typed it right.

  28. lilMissMindset
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    let's ignore the partial fraction thingy then.

  29. TuringTest
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    then shivam bhalla has shown you the right way do you know trig substitution integrals?

  30. lilMissMindset
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 0

    yeah. i'm sorry, i'll do it using trig substitution. thank you so much.

  31. TuringTest
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 1

    welcome!

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

    • Attachments:

Ask your own question

Ask a Question
Find more explanations on OpenStudy

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.