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

EEMajor12 Group Title

Integral Question

  • 2 years ago
  • 2 years ago

  • This Question is Closed
  1. EEMajor12 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    f(x)=\int_1^{3x^5} \ln(t^2+1) \, dt

    • 2 years ago
  2. satellite73 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    \[f(x)=\int_1^{3x^5} \ln(t^2+1) \, dt\]like that?

    • 2 years ago
  3. satellite73 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    is the question find the derivative?

    • 2 years ago
  4. EEMajor12 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    yes it is,

    • 2 years ago
  5. satellite73 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    how'd i guess?

    • 2 years ago
  6. imranmeah91 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    too hard to integrate

    • 2 years ago
  7. satellite73 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    use the chain rule. the derivative of the integral is the integrand, so replace t by \[3x^5\] and then multiply the answer by \[15x^4\]

    • 2 years ago
  8. EEMajor12 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    yeah im having trouble with these. Ill try it sat!

    • 2 years ago
  9. satellite73 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    \[f'(x)=\ln((3x^5)^2+1)\times 15x^4\]

    • 2 years ago
  10. satellite73 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    i should have let you do it on your own, but once you see it you should realize how easy it is. it is clear what i did yes?

    • 2 years ago
  11. satellite73 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    if you need a word of explanation let me know

    • 2 years ago
  12. EEMajor12 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    i understand chain rule for ln (function within function). where did the 15x4 come from?

    • 2 years ago
  13. EEMajor12 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    nvm 3x^5 derivative

    • 2 years ago
  14. EEMajor12 Group Title
    Best Response
    You've already chosen the best response.
    Medals 0

    15x^4 \ln(9x^{10}+1) ?

    • 2 years ago
  15. satellite73 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    yes

    • 2 years ago
  16. satellite73 Group Title
    Best Response
    You've already chosen the best response.
    Medals 1

    it is the chain rule and you have a composite function. don't forget that \[F(x)=\int_a^x f(t)dt\] is a function of "x" so if you do not have an x in the upper limit, but rather something else, you have a composition like \[F(g(x))=\int_a^{g(x)}f(t)dt\] and so you need the chain rule

    • 2 years ago
    • Attachments:

See more questions >>>

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

spraguer (Moderator)
5 β†’ 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.
  • βœ” 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.