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

liliy

The Mean Value Theorem of integrals says that if f is continuous on a closed bounded interval [a, b], there exists a number c, between a and b, such that Integral of f[x] dx =f (c) (b - a) Find the value c that satifies the mean value theorem for f(x) = ln(x) on the interval [1,2]

  • one year ago
  • one year ago

  • This Question is Closed
  1. amistre64
    Best Response
    You've already chosen the best response.
    Medals 0

    height times length .... equals area

    • one year ago
  2. amistre64
    Best Response
    You've already chosen the best response.
    Medals 0

    integrate ln(x) from 1 to 2, and divide it by the length of the interval .... stuff like that

    • one year ago
  3. satellite73
    Best Response
    You've already chosen the best response.
    Medals 0

    do you know how to compote \[\int_1^2\ln(x)dx\]?

    • one year ago
  4. satellite73
    Best Response
    You've already chosen the best response.
    Medals 0

    *compute

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

    I got the answer to be log[2] ?

    • one year ago
  6. amistre64
    Best Response
    You've already chosen the best response.
    Medals 0

    integrate ln(x), xlnx - x (2 ln2 - 2) - (1ln1 - 1) 2 ln2 - 1 ln4 - 1, and since b-a = 2-1 = 1, we get ln(c) = ln4 - 1 c = e^(ln4 - 1) c = 4 - e^(-1) right?

    • one year ago
  7. amistre64
    Best Response
    You've already chosen the best response.
    Medals 0

    err, 4e^(-1) might be better

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

    I dont undestnad what i am integrating... you are you also doing xlnx-x?

    • 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.