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- June 2nd 2009, 12:31 PM #1

- June 2nd 2009, 03:15 PM #2

- June 2nd 2009, 03:18 PM #3

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- June 2nd 2009, 08:17 PM #4

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- June 3rd 2009, 12:01 AM #5

- June 3rd 2009, 05:37 AM #6

- June 3rd 2009, 08:43 AM #7

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Yes I am aware of that, but you can note that . Now you should be able to solve with integration by parts.

Putting this all together it would be "easier" instead solve and then do the necessary algebraic manipulations to find the value of .

As for the hint to number (1) things will work out as follows:

You can verify these by drawing the necessary right triangle.