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: 
