I need to find $\int\limits_0^t e^{\alpha t}\sin(\omega t)\,\mathrm dt$. I'd like to know whether it can be brought into some closed form expression. Please suggest me some hints to solve this.
a question on definite integral $\int\limits_0^t e^{\alpha t}\sin(\omega t)\,\mathrm dt$
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$\begingroup$
integration
definite-integrals
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1this should help: http://math.stackexchange.com/questions/19796/name-of-this-identity-int-e-alpha-x-cos-beta-x-frace-alpha-x-alp – 2011-04-23
3 Answers
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This is the imaginary part of a similar integral that is easy to compute.
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0@Carl : Now I am getting the same, thank you. – 2011-04-23
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Integration by parts may help.
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I would suggest to use $\sin \omega t = \frac{1}{2 i}\left(e^{i\omega t} - e^{-i\omega t}\right)$.