Science:Math Exam Resources/Courses/MATH101/April 2011/Question 01 (b)/Solution 1

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Using Hint 2, we may immediately rewrite as

We would like to use Hint 1, but it would only be applicable if the upper limit of integration were , which in this case is not true. So we define


From Hint 1, we see immediately that . We also see that . Using the chain rule, we can then compute that