A community for students.
Here's the question you clicked on:
 0 viewing
kylehberg
 3 years ago
what is the antiderivate of 9cos3t???
kylehberg
 3 years ago
what is the antiderivate of 9cos3t???

This Question is Closed

ParthKohli
 3 years ago
Best ResponseYou've already chosen the best response.2In other words, what is \(9\cos3t\) the derivative of?

ParthKohli
 3 years ago
Best ResponseYou've already chosen the best response.2of course with respect to \(t\).

Denebel
 3 years ago
Best ResponseYou've already chosen the best response.2Hint: \[\int\limits_{}^{} \cos ax dx = \frac{ \sin ax }{ a } + c\]

ParthKohli
 3 years ago
Best ResponseYou've already chosen the best response.2You start by taking the constant out.\[9\int\cos (3t)\]Use what Denebal gave.

ParthKohli
 3 years ago
Best ResponseYou've already chosen the best response.2By the way, you can also take \(u = 3t\) :)

kylehberg
 3 years ago
Best ResponseYou've already chosen the best response.0would it be sin3/2t^2

ParthKohli
 3 years ago
Best ResponseYou've already chosen the best response.2\[9\int \cos(3t)dt\]Sorry for the mistake above

Chlorophyll
 3 years ago
Best ResponseYou've already chosen the best response.0Where do you get 2t^2 ???

kylehberg
 3 years ago
Best ResponseYou've already chosen the best response.0the antiderivate of 3t is 3/2t^2

ParthKohli
 3 years ago
Best ResponseYou've already chosen the best response.2\[9 \times{1 \over 3}\int \cos(u)du\]\[3\int \cos(u)du\]\[\implies 3\times \sin(u) + C\]

Denebel
 3 years ago
Best ResponseYou've already chosen the best response.2\[9\int\limits_{}^{} \cos (3t) dt = \frac{ 9\sin(3t) }{ 3 } = 3\sin(3t) + C\]

ParthKohli
 3 years ago
Best ResponseYou've already chosen the best response.2Substituting \(u\) back,\[3\sin(3t) + C\]Yep

kylehberg
 3 years ago
Best ResponseYou've already chosen the best response.0thank you!... i can't do antiderivativs when they have a sin, cos, etc in them

Chlorophyll
 3 years ago
Best ResponseYou've already chosen the best response.0∫ cosu dx = sinu / u' Does it make any sense to you?

Chlorophyll
 3 years ago
Best ResponseYou've already chosen the best response.0or ∫cos ax dx = sin ax / a + C Does it make any sense at all?
Ask your own question
Sign UpFind 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
 Engagement 19 Mad Hatter
 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.