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J Easy Integration一.题目大意\quad 10510^5105次查询∫01(x−x2)ndx\int_{0}^{1}(x-x^2)^ndx∫01​(x−x2)ndx，1≤n≤1061\leq n \leq 10^61≤n≤106.二.分析\quad∫01(x−x2)ndx=∫01xn(1−x)ndx\int_{0}^{1}(x-x^2)^ndx=\int_{0}^{1}x^n(1-x)^ndx∫01​(x−x2)ndx=∫01​xn(1−x)ndx\quad∫01xn(1−x)n