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[Mathematik] Vertauschen von Differentiation und Integration
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Hallo zusammen,
mal eine (hoffentlich nicht zu dumme) kurze Frage:
Wir betrachten das Integral von f(s,t) ueber dem Intervall
[s, 1] bezueglich t, d .h .
I(s,t) = int_s^1 f(s,t) dt .
Wir interessieren uns nun fuer
d/ds I(s,t) = d/ds int_s^1 f(s,t) dt .
Duerfen wir den Differentialoperator in das Integal
“ziehen”, sprich gilt
d/ds int_s^1 f(s,t) dt = int_s^1 d/ds f(s,t) dt
?
Unter welchen[…] źródło