Mathematica(@mathemetica):Beautiful double integral evaluation: ∫₀¹ ∫₀¹ 1 / [(1−xy)(1+x)(1+y)] dx dy = ln 2 The surface plot shows the function f(x,y) over the unit square. Solved using the clever substitution y = u/x, partial fractions, and integration by parts; beautifully simplifying to ln 2.

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Mathematica@mathemetica

2026.05.13 02:47

Beautiful double integral evaluation: ∫₀¹ ∫₀¹ 1 / [(1−xy)(1+x)(1+y)] dx dy = ln 2 The surface plot shows the function f(x,y) over the unit square. Solved using the clever substitution y = u/x, partial fractions, and integration by parts; beautifully simplifying to ln 2.