What are the differences in using integrated rate law vs. initial rates methods

What are the differences in using integrated rate law vs. initial rates methods for determining reaction order and k? What are the strengths and weaknesses of each?Suppose one group had a faulty colorimeter that occasionally gave an incorrect reading and a second group made an error while preparing one of the standard solutions causing its true concentration to be less than they believed. How could you distinguish between these two possibilities by looking at the calibration curve?What would the value of the y-intercept be in an ideal Beer’s Law plot? What sources of error (other than human error) might be specific to the Beer’s Law portion of the experiment? How might they impact the values of the molar absorptivity or y-intercept you calculated? What is an expected value for molar absorptivity of crystal violet in water