Science:Math Exam Resources/Courses/MATH200/April 2012/Question 06 (b)
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Question 06 (b) 

Evaluate from part (a) if 
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 hints below. Read the first one and consider it for a while. Does it give you a new idea on how to approach the problem? If so, try it! If after a while you are still stuck, go for the next hint. 
Hint 1 

Using the solution of part (a), we calculate the integral
It make sense to use the order of integration, where we first integrate with respect to , since integration with respect to first is very hard with this integrand. 
Hint 2 

After integration with respect to , you need to integrate Factorize the term in the brackets, then use integration by parts. 
Checking a solution serves two purposes: helping you if, after having used all the hints, you still are stuck on the problem; or if you have solved the problem and would like to check your work.

Solution 

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Please rate my easiness! It's quick and helps everyone guide their studies. Using our answer from part (a), we can write I with the given ƒ as We can evaluate the integral as follows: Using integration by parts, with u=x+1 and dv = exp(x), Therefore, 