Science:Math Exam Resources/Courses/MATH101/April 2015/Question 01 (d)
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Question 01 (d) |
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Calculate . Simplify your answer completely. |
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 |
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The integral bounds are symmetric -7, 7, this might remind you to check whether the integrand is odd or even, but watch out for the constant . |
Hint 2 |
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A function is odd when . and recall that |
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.
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Solution |
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Found a typo? Is this solution unclear? Let us know here.
Please rate my easiness! It's quick and helps everyone guide their studies. The two functions and are odd because: , so Therefore
Note that without using the odd function property, if we use the direct computation of the integral we get the same result. |