Need help to show that double integrate [1 0] [1 0] 1/(1-xy) dx dy gives pi^2 / 6 by applying the substitution:

x = (sqrt2 sin theta - v) / sqrt2

y = (sqrt2 sin theta + v) / sqrt2

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- Nov 2nd 2012, 09:14 AMTaTzRE66Double integration
Need help to show that double integrate [1 0] [1 0] 1/(1-xy) dx dy gives pi^2 / 6 by applying the substitution:

x = (sqrt2 sin theta - v) / sqrt2

y = (sqrt2 sin theta + v) / sqrt2 - Nov 2nd 2012, 11:21 PMchiroRe: Double integration
Hey TaTzRE66.

Can you show us what you tried? What is the Jacobian, new limits and new integral used for the substitution?