022 Exam 2 Sample A, Problem 8

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Use differentials to approximate the change in profit given   units and   units, where profit is given by .

Foundations:  
A differential is a method of approximating a change,
For setup of the problem we need to integrate the region between the x - axis, the curve, x = 1, and x = 4.

 Solution:

Step 1:  
Step 2:  

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