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 Sep 18 comment Integration of infinite series not giving expected result The result now plots as expected. Thanks for your help! Sep 18 accepted Integration of infinite series not giving expected result Sep 18 revised Integration of infinite series not giving expected result added 43 characters in body Sep 18 comment Integration of infinite series not giving expected result Ok, I went ahead and made the clarifications as suggested by your post! Sep 18 revised Integration of infinite series not giving expected result added 121 characters in body Sep 18 revised Integration of infinite series not giving expected result added 121 characters in body Sep 18 comment Integration of infinite series not giving expected result I'm using u(t) to represent the Heaviside function (edited to make this clearer). Let me go ahead and reformat using Mathjax and replace t with a different variable. Sep 18 revised Integration of infinite series not giving expected result edited title Sep 17 asked Integration of infinite series not giving expected result Sep 17 comment Solving integral of sinusoid involving unit step and dirac delta function FWIW, my main mistake above was in the integration of the dirac function - which should integrate to u(t), not 1. Once that's fixed the integration method above "works" even though as per Dr. MV it may not be entirely sound mathematically. Sep 17 comment Solving integral of sinusoid involving unit step and dirac delta function Excellent, thanks! Sep 17 accepted Solving integral of sinusoid involving unit step and dirac delta function Sep 17 comment Expressing a function in terms of sinc(t) Right, so I guess I wasn't looking for a more explicit relation than what is possible. Thanks for pointing me in the right direction. Sep 17 accepted Expressing a function in terms of sinc(t) Sep 17 comment Solving integral of sinusoid involving unit step and dirac delta function Also, the solution I am given doesn't have a negative sign. Sep 17 comment Solving integral of sinusoid involving unit step and dirac delta function I would like to accept but the solution (see question) doesn't involve this additional u(t) - that's part of what I don't understand. Sep 16 comment Solving integral of sinusoid involving unit step and dirac delta function Thank you for your help. What about the + 1 part from the derivative of the dirac function? Sep 16 comment Expressing a function in terms of sinc(t) Essentially everything I'm writing down simplifies to $sin(t) = sin(t)$ or $sin(t/\Delta)=sin(t/\Delta)$. Sep 16 comment Expressing a function in terms of sinc(t) Thanks for your help. This gives me $U(\Delta*s)=\Delta*S(s)$, but I can't seem to find a value of $s$ that results in relating $sin(t/\Delta)$ to $sin(t)$. Maybe I'm missing something obvious, or not aiming for the right thing here. Sep 16 comment Expressing a function in terms of sinc(t) So far, I've tried expanding each side into their complex exponential forms, then isolating t on both sides and trying to solve the equation. That's not been getting me anywhere.