022 Exam 2 Sample A, Problem 6

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Find the area under the curve of    between and .

For solving the problem, we only require the use of the power rule for integration:
Geometrically, we need to integrate the region between the -axis, the curve, and the vertical lines and .


Step 1:  
Set up the integral:
Step 2:  
Using the power rule we have:
Step 3:  
Now we need to evaluate to get:
Final Answer:  

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