Show that _ 1 0 _ y 0 (y x)n dx dy = 1 (n + 1)(n + 2)

Chapter , Problem 78

(choose chapter or problem)

Show that

\(\int_{0}^{1} \int_{0}^{y}(y-x)^{n}~ d x~ d y=\frac{1}{(n+1)(n+2)}\)

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