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The following question has a 500 points bounty on MSE that soon comes to an end, and no answer
as expected was given yet. How would a professional solve the problem? Wish you succcess.

http://math.stackexchange.com/questions/1261861/calculate-in-closed-form-int-01-int-01-fracdx-dy1-xy1-x1-yhttps://math.stackexchange.com/questions/1261861/calculate-in-closed-form-int-01-int-01-fracdx-dy1-xy1-x1-y

The following question has a 500 points bounty on MSE that soon comes to an end, and no answer
as expected was given yet. How would a professional solve the problem? Wish you succcess.

http://math.stackexchange.com/questions/1261861/calculate-in-closed-form-int-01-int-01-fracdx-dy1-xy1-x1-y

The following question has a 500 points bounty on MSE that soon comes to an end, and no answer
as expected was given yet. How would a professional solve the problem? Wish you succcess.

https://math.stackexchange.com/questions/1261861/calculate-in-closed-form-int-01-int-01-fracdx-dy1-xy1-x1-y

Notice removed Current answers are outdated by user 1357113
Bounty Ended with Bjørn Kjos-Hanssen's answer chosen by user 1357113
Notice added Current answers are outdated by user 1357113
Bounty Started worth 100 reputation by user 1357113
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Calculate in closed form $\int_0^1 \int_0^1 \frac{dx\,dy}{1-xy(1-x)(1-y)}$

The following question has a 500 points bounty on MSE that soon comes to an end, and no answer
as expected was given yet. How would a professional solve the problem? Wish you succcess.

http://math.stackexchange.com/questions/1261861/calculate-in-closed-form-int-01-int-01-fracdx-dy1-xy1-x1-y