Let $f$ be a function that maps a disc $D$ onto a unit square $A$ such that $f(D) = A$. $f$ is holomorphic and one-to-one. Why does $\int_D|f'(x+iy)|^2 \, dx \, dy = 1$?
2026-04-05 16:07:01.1775405221
Integral of the determinant of the Jacobian in complex variables?
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