For part of a proof of a differential equations equivalence, we needed to use that $$\int_0^t [\int_0^s g(\tau,\phi(\tau))\space d\tau]\space ds = \int_0^t [\int_\tau^t ds]\space g(\tau,\phi(\tau))\space d\tau$$(adsbygoogle = window.adsbygoogle || []).push({});

I understand that the order is being changed to integrate with respect to s first instead of tau, however I don't understand whats happening with the limits of integration. It has something to do with changing the order of integration but I can't follow it if someone could help show the steps between that equality.

In case it is needed, g is a continuous function

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# I Integration Limits Changing in Double Integral Order Change

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