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Quote: Originally Posted by liyi Evaluate Thus, Let ,

Quote: Originally Posted by liyi Evaluate Solution 2. In my other post I used that fact that (it was proven on this forum before). Here is a method just using the fact that . Note that,

Quote: Originally Posted by liyi Evaluate Here's another proof. We'll use the following fact (Proven here.) Now The integral becomes to For the inner integral, substitute Finally -- A related problem. -- As for can be found here.

Nice problem :) Quote: Originally Posted by liyi Define Substitute so And finally