MATH101 April 2012
• Q1 (a) • Q1 (b) • Q1 (c) • Q1 (d) • Q1 (e) • Q1 (f) • Q1 (g) • Q1 (h) • Q1 (i) • Q1 (j) • Q2 (a) • Q2 (b) • Q3 (a) • Q3 (b) • Q3 (c) • Q3 (d) • Q4 (a) • Q4 (c) • Q5 • Q6 • Q7 (a) • Q7 (b) • Q7 (c) • Q8 (a) • Q8 (b) •
Question 01 (g)
Short-Answer Question. Show all your work, simplify your answer as much as possible.
Express as a definite integral. Do not evaluate this integral.
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!
Try to write the sum in the form
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Notice that occurs in the summand. This suggests that and so we can take . Writing the sum as
the last fraction suggests that a possible function is which can be seen by noting that we have
Also, we have
and since we have that . Combining this gives
completing the question.
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MER QGH flag, MER QGQ flag, MER QGS flag, MER RT flag, MER Tag Riemann sum, Pages using DynamicPageList parser function, Pages using DynamicPageList parser tag