022 Exam 2 Sample B, Problem 6

From Math Wiki
Revision as of 18:04, 15 May 2015 by MathAdmin (talk | contribs) (Created page with "<span class="exam">Find the area under the curve of  <math style="vertical-align: -13%">y = 6x^2 + 2x</math> between the <math style="vertical-align: -15%">y</math>-axi...")
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)
Jump to navigation Jump to search

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 setup of the problem we need to integrate the region between the x - axis, the curve, x = 0 (the y-axis), and x = 4.


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:  

Return to Sample Exam