Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

EEMajor12

  • 4 years ago

Integral Question

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

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

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

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

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

    is the question find the derivative?

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

    yes it is,

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

    how'd i guess?

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

    too hard to integrate

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

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

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

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

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

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

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

    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?

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

    if you need a word of explanation let me know

  12. EEMajor12
    • 4 years ago
    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?

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

    nvm 3x^5 derivative

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

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

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

    yes

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

    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

  17. 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