There are different variants of "during" translation in this context in Ukrainian, like "упродовж", "протягом", "в перебігу", "на протязі".
Many people confuse correct usage of above variants and I'm one of them.
Just to clarify. You should avoid the usage of "на протязі" if you speak about time. It is a common and somewhat annoying mistake. That means the state when both window and door are opened and there is a draft. It lies on the Russian "в течение", I guess (t be honest, that kind of word combination has a similar common mistake, but we are speaking about Ukrainian).
In your case you can say "протягом" чи "впродовж". The are pretty the same. Sometimes you should use the "during" twice a sentence. To make it sound better you may use both. For example: "Протягом дня я читав чудову книгу, а упродовж ночі не міг заснути". You can say during the whole day I have read the book and during the whole night I couldn't fall asleep (it is better to say just 'at night' maybe, but this is an example).
I believe that the correct variants are "протягом дня" or "упродовж дня", since "протягом" and "упродовж" are considered to be equivalents. "в перебігу" describes the development or progress of a process