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The square roots are all zero because .
So are the integrals, because is an odd function and the intervals are symmetric around 0.
The logs simplify to etc.
Hence, we get
Since , the end result must be
Looks more complicated than it is (or I'm wrong) :-)
That's correct.
The problem I had stumbled on was actually
but I thought that one would have been too obvious, so I decided to rewrite it in the way I did.
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