Verify analytical expression: derivative of an integral with undefined function

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I’m trying to verify an analytical expression i did by hand. The expression is:
What i think is that the result is just the integral argument evaluated in T, but i’m really not sure. I tried to use diff and int, but i don’t know how to write the function Phi(t).

Accepted Answer

John D'Errico
John D'Errico on 17 Aug 2022
Edited: John D'Errico on 17 Aug 2022
You define a function of a variable as I do here:
syms n omega phi(t) T
ans = 
Looks like you were pretty close after all, but I think you knew that. :)

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