well, the formula is as follow:
but i am pretty sure that this answer - zero is not correct, so could anyone help me out of this problem?
2026-04-12 07:41:51.1775979711
Doubt about the Fourier transform of one formula.
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After discussion with user1952009, i have realized my mistake that i considered jω as a coefficient rather than a variant.
$F[x(t)\ddot x(t)]=-\omega^2X(\omega)*X(\omega)$
$F[\dot x(t)^2]=j\omega X(\omega)*j\omega X(\omega)\neq-\omega^2X(\omega)*X(\omega)$