Why is the definite integral of the nth power of X on (0,1) 1 / N + 1?
The definite integral of the nth power of X on (0,1) = the difference after 1 / (n + 1) * x ^ (n + 1) is substituted into 1 and 0,
That is 1 / (n + 1) * 1 ^ (n + 1) - 1 / (n + 1) * 0 ^ (n + 1) = 1 / (n + 1)
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