Science:Math Exam Resources/Courses/MATH103/April 2012/Question 01 (e)
• Q1 (a) • Q1 (b) • Q1 (c) • Q1 (d) • Q1 (e) • Q1 (f) • Q1 (g) • Q2 (a) • Q2 (b) • Q2 (c) • Q2 (d) • Q2 (e) • Q2 (f) • Q3 (a) • Q3 (b) • Q4 (a) • Q4 (b) • Q4 (c) • Q4 (d) • Q4 (e) • Q4 (f) • Q5 (a) • Q5 (b) • Q5 (c) •
Question 01 (e) 

Answer the following multiple choice question. Check your answer very carefully. Your answer will be marked right or wrong (work will not be considered for this problem). The value of the integral is

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 

Use integration by parts. 
Hint 2 

Then use integration by parts another time. 
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 

Found a typo? Is this solution unclear? Let us know here.
Please rate my easiness! It's quick and helps everyone guide their studies. Using integration by parts, we get And using integration by parts again on this integral we obtain we get Now that we have the antiderivative, we can compute the improper integral And so the correct answer is E. 