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Idealist
Group Title
How to find the indefinite integral of (e^t)(1+3sin(t))dt?
 one year ago
 one year ago
Idealist Group Title
How to find the indefinite integral of (e^t)(1+3sin(t))dt?
 one year ago
 one year ago

This Question is Closed

Realist Group TitleBest ResponseYou've already chosen the best response.1
You can't.
 one year ago

Idealist Group TitleBest ResponseYou've already chosen the best response.0
Yes, you could. There's an answer for this.
 one year ago

Realist Group TitleBest ResponseYou've already chosen the best response.1
True, true.
 one year ago

Realist Group TitleBest ResponseYou've already chosen the best response.1
integral of e^t (1+3sin(t)) dt Expand it so e^t (1+3sin(t)) dt = (e^t + 3e^t sin(t)) dt then integrate each term and remove/factor constants so integral of e^t dt + 3 integral of e^t sin(t) dt therefore the integral of e^t dt = e^t, however for the integral: 3 integral of e^t sin(t) dt use the formula : integral of exponent ( alpha (t)) sin ( beta (t)) dt = exponent (alpha (t)) (beta cos ((beta)(t)) + alpha sin ((beta) (t)))/ alpha^2 + beta^2 after using the formula and integrating: 3 integral of e^t sin(t) dt we get : 3/2 e^t sin(t)  3/2e^t cos(t) then combine that with the integral of e^t dt = ? Hope you understand that. If you don't, there's absolutely nothing I can do about it.
 one year ago

swissgirl Group TitleBest ResponseYou've already chosen the best response.3
Well lets separate it to \( \int e^{t}dt +3\int e^{t}sin(t)dt\)
 one year ago

Realist Group TitleBest ResponseYou've already chosen the best response.1
Credit: A beautiful cheating site that works for everyone http://answers.yahoo.com/question/index?qid=20091127013306AAGvR7G
 one year ago

GoldPhenoix Group TitleBest ResponseYou've already chosen the best response.0
His question and the person who asked in answeryahoo are different. :
 one year ago

Realist Group TitleBest ResponseYou've already chosen the best response.1
http://5z8.info/fakelogin_v3z6yt_beginbankaccountxfer
 one year ago

GoldPhenoix Group TitleBest ResponseYou've already chosen the best response.0
What is your link suppose to be, Realist?
 one year ago

swissgirl Group TitleBest ResponseYou've already chosen the best response.3
Ok Then we get \(\large\frac{e^{t}}{t}+3(\large \frac{e^{t}}{2}(sintcost)\)
 one year ago

Realist Group TitleBest ResponseYou've already chosen the best response.1
It's supposed to be opened. @GoldPhenoix
 one year ago

swissgirl Group TitleBest ResponseYou've already chosen the best response.3
Ok so for the first integral I used the basic rule which is \(\large \int e^{at}dt = \frac{e^{at}}{t}+C\) And for the second integral I used \( \large \int e^{at}sinbt dt = \frac{e^{at}}{a^2+b^2}(a*sinbt b*sinbt)+C\) Whooopsss I forgot the +C in my answer above
 one year ago

Idealist Group TitleBest ResponseYou've already chosen the best response.0
Thanks a lot.
 one year ago

Loser66 Group TitleBest ResponseYou've already chosen the best response.0
@swissgirl Sorry for my dummy, I don't get the second integral.Please, explain me
 one year ago

swissgirl Group TitleBest ResponseYou've already chosen the best response.3
You are not a dummy :) Umm I just used the table of integrals otherwise it gets messy
 one year ago

Loser66 Group TitleBest ResponseYou've already chosen the best response.0
can I know where does that table come from?
 one year ago

swissgirl Group TitleBest ResponseYou've already chosen the best response.3
Ummm its on the back page of every calc book
 one year ago

swissgirl Group TitleBest ResponseYou've already chosen the best response.3
If you would like I can photocopy the page and upload it but i bet u can find it online
 one year ago

Loser66 Group TitleBest ResponseYou've already chosen the best response.0
ok, let me check. Since I take derivative of the answer, I don't get the integrand, but a mess. hihihi... May be because I made mistake at somewhere. let me redo. Thanks for response
 one year ago

swissgirl Group TitleBest ResponseYou've already chosen the best response.3
Not necessarily is there a mistake maybe its the simplification thats the issue. It happens to me all the time
 one year ago

Loser66 Group TitleBest ResponseYou've already chosen the best response.0
hey, I got it from my book too. hihi. sorry.
 one year ago
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