Quantcast

A community for students. Sign up today!

Here's the question you clicked on:

55 members online
  • 0 replying
  • 0 viewing

kylehberg

  • 2 years ago

what is the antiderivate of 9cos3t???

  • This Question is Closed
  1. ParthKohli
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    integrate it

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

    In other words, what is \(9\cos3t\) the derivative of?

  3. ParthKohli
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    of course with respect to \(t\).

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

    Hint: \[\int\limits_{}^{} \cos ax dx = \frac{ \sin ax }{ a } + c\]

  5. ParthKohli
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    You start by taking the constant out.\[9\int\cos (3t)\]Use what Denebal gave.

  6. ParthKohli
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    Denebel*

  7. ParthKohli
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    By the way, you can also take \(u = 3t\) :)

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

    would it be sin3/2t^2

  9. ParthKohli
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    Erm, no.

  10. ParthKohli
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    \[9\int \cos(3t)dt\]Sorry for the mistake above

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

    Where do you get 2t^2 ???

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

    the antiderivate of 3t is 3/2t^2

  13. ParthKohli
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    \[9 \times{1 \over 3}\int \cos(u)du\]\[3\int \cos(u)du\]\[\implies 3\times \sin(u) + C\]

  14. Denebel
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    \[9\int\limits_{}^{} \cos (3t) dt = \frac{ 9\sin(3t) }{ 3 } = 3\sin(3t) + C\]

  15. ParthKohli
    • 2 years ago
    Best Response
    You've already chosen the best response.
    Medals 2

    Substituting \(u\) back,\[3\sin(3t) + C\]Yep

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

    thank you!... i can't do antiderivativs when they have a sin, cos, etc in them

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

    ∫ cosu dx = sinu / u' Does it make any sense to you?

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

    or ∫cos ax dx = sin ax / a + C Does it make any sense at all?

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

    yeah, thank you

  20. Not the answer you are looking for?
    Search for more explanations.

    • Attachments:

Ask your own question

Ask a Question
Find more explanations on OpenStudy

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.