A community for students.

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

anonymous

  • one year ago

Integrals

  • This Question is Closed
  1. anonymous
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 0

    1 Attachment
  2. rational
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 3

    show that the derivative is 0

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

    What I did was split the variables up so instead of \[\Large F(x)=\int\limits_{x}^{3x}\frac{dt}{t}\] I hose 2 as a constant and turned into \[\Large F(x)=\int\limits\limits_{x}^{2}\frac{dt}{t}+\int\limits\limits_{2}^{3x}\frac{dt}{t}\] \[\Large F(x)=-\int\limits\limits\limits_{2}^{x}\frac{dt}{t}+\int\limits\limits\limits_{2}^{3x}\frac{dt}{t}\] And now F'(x)=f(x) \[\Large F'(x)=-\frac{ 1 }{ x }+\frac{ 1 }{ 3x }=\frac{ 2 }{ 3x }\]

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

    Thatv doesn't look like 0, unless I was going about it the wrong way

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

    you forgot to use chain rule

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

    Where?

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

    Oh, I thought it was 1/3 x, I see

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

    \[\dfrac{d}{dx}\int\limits_a^{g(x)} ~f(t)~dt = f(g(x))*\color{red}{g'(x)}\]

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

    Oh, it's now 0

  10. Loser66
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    is it not that int of 1/t dt = lnt? plug limits in, we have ln 3x - ln x = ln 3 constant

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

    that looks nice and more direct

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

    @Loser66 That makes it so much easier

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

    I'll give my medal to @rational since he helped me first

  14. Loser66
    • one year ago
    Best Response
    You've already chosen the best response.
    Medals 1

    hihihi... my brain can't think of something complicated.

  15. 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.