Science:Math Exam Resources/Courses/MATH200/December 2013/Question 06
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Question 06 

Evaluate

Make sure you understand the problem fully: What is the question asking you to do? Are there specific conditions or constraints that you should take note of? How will you know if your answer is correct from your work only? Can you rephrase the question in your own words in a way that makes sense to you? 
If you are stuck, check the hint below. Consider it for a while. Does it give you a new idea on how to approach the problem? If so, try it! 
Hint 

The way the integral is set up, it requires you integrate for with respect to first. This is a difficult integral to solve so you should consider changing the order of integration. 
Checking a solution serves two purposes: helping you if, after having used the hint, you still are stuck on the problem; or if you have solved the problem and would like to check your work.

Solution 

Found a typo? Is this solution unclear? Let us know here.
Please rate my easiness! It's quick and helps everyone guide their studies. Like the hint suggests, we need to change the order of integration. First, we must begin by setting up the new bounds. We can begin by drawing the domain of integration.
In order to change the order of integration, we must find the bounds of in terms of and the bounds of in terms of numbers. We can observe from the picture of the domain of integration that the bounds are equivalent to
Using this, we can change the order of integration.
