求下列积分. (1)设f(x)=,求∫01x2f(x)dx; (2)设函数f(x)在[0,1]连续且∫01f(x)dx=A,求∫01dx∫x1f(x)f(y)dy.

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问题 求下列积分.
(1)设f(x)=,求∫01x2f(x)dx;
(2)设函数f(x)在[0,1]连续且∫01f(x)dx=A,求∫01dx∫x1f(x)f(y)dy.

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