Quantcast

Got Homework?

Connect with other students for help. It's a free community.

  • across
    MIT Grad Student
    Online now
  • laura*
    Helped 1,000 students
    Online now
  • Hero
    College Math Guru
    Online now

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

mathematics44 Group Title

Integrate (x+3)/(x-7)^2 using partial integration method?

  • one year ago
  • one year ago

  • This Question is Closed
  1. .Sam. Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Partial fractions?

    • one year ago
  2. .Sam. Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    \[\frac{3+x}{(x-7)^2}=\frac{A}{x-7}+\frac{B}{(x-7)^2}\]

    • one year ago
  3. mathematics44 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    Yeah, it was partial fractions. My bad. lol

    • one year ago
  4. .Sam. Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    So did you get it?

    • one year ago
  5. mathematics44 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    I knew how to do it up until this point but if you plug in 7, it gives you A(0) + B(0) = 10, so how do I find out the values of A and B separately?

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

    Try values other than 7. Like x = 1 and 0, for convenience. This should give you a system of two equations with the unknowns, A and B.

    • one year ago
  7. mathematics44 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    I tried 6 and 8 and answer that I got is A=10 , B= 1. I hope that's correct

    • one year ago
  8. .Sam. Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    \[x+3=B+A (x-7)\] When x=7 B=10 When B has this value, when x=0, 0+3=10-7A A=1 \[\frac{x+3}{(x-7)^2}=\frac{1}{x-7}+\frac{10}{(x-7)^2}\]

    • one year ago
  9. .Sam. Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    Can you do it now? \[\int\limits \left(\frac{10}{(x-7)^2}+\frac{1}{x-7}\right) \, dx\]

    • one year ago
  10. mathematics44 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    yes. thank you for your help

    • one year ago
    • Attachments:

See more questions >>>

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.