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ParthKohli Group TitleBest ResponseYou've already chosen the best response.2
integrate it
 2 years ago

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

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

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

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

ParthKohli Group TitleBest ResponseYou've already chosen the best response.2
Denebel*
 2 years ago

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

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

ParthKohli Group TitleBest ResponseYou've already chosen the best response.2
Erm, no.
 2 years ago

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

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

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

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

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

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

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

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

Chlorophyll Group TitleBest ResponseYou've already chosen the best response.0
or ∫cos ax dx = sin ax / a + C Does it make any sense at all?
 2 years ago

kylehberg Group TitleBest ResponseYou've already chosen the best response.0
yeah, thank you
 2 years ago
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