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I brushing up on integration techniques and I came across this problem in a book. Does anyone here know were to start? Even Wolfram blanked on it!

[itex]\int_{0}^{\frac{\pi }{2}}\, \frac{1}{1+(tanx)^{\sqrt 2}} dx[/itex]

This integral appeared in the bookbeforesequences and series, so the book did not intend to use any type of series expansion.

Let me know!

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# Tricky Integral

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