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If An is the area bounded by y=x and y=x...

If `A_n` is the area bounded by `y=x` and `y=x^n ,n in \mathbb{N}` ,then `A_2 A_3 ... A_n=` (a) `1/(n(n+1))` (b) `1/(2^n n(n+1))` (c) `1/(2^(n-1)n(n+1))` (d) `1/(2^(n-2)n(n+1))`

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