022 Exam 2 Sample B, Problem 6

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Find the area under the curve of  between the -axis and .

For solving the problem, we only require the use of the power rule for integration:
  for ,
For setup of the problem we need to integrate the region between the x - axis, the curve, (the y-axis), and .


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

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