Differential v Integrated rate law

[McKenna_4A]

What is implied when we say that an integrated rate law depends on time? Could the differential not be written as a function of time?

[Sally Qiu 2E]

i believe if you tried to write the differential rate law as a function of time, you would have to manipulate it into the integrated rate law. the differential rate law equation as is relates rate to concentration

[Diana Chavez-Carrillo 2L]

The integrated rate law tells us how much reactant concentration changes over time. The differential rate law tells us the rate as a function of concentration. In other words, it is the overall reaction as a function of reactant concentration. The differential rate law can help us figure out the integrated rate law.

[Matt F]

The integrated rate law is the differential rate law written as a function of time. In other words, rather than rate being a function of concentration, rate is a function of time. This can be seen with the graphs of zero order, first order, and second order reactions, in which [A], ln[A], and 1/[A] are plotted against time, giving linear slopes (values for k)