When one writes [tex]\int p(t) \, dt[/tex] is the constant of integration implied? I have always thought that it wasn't necessary to write [tex]\int p(t) \, dt +k[/tex]. However, in my diff. eq. book the constant is ussually written out, why is this so?(adsbygoogle = window.adsbygoogle || []).push({});

In addition the book also writes [tex]\int_{t_o}^t p(t) \, dt +k[/tex] isn't the constant here unnecessary since we now have the limits of integration included?

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# A concept from calculus that has always bothered me

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