The value of  5050∫01 1−x50100dx∫01 1−x50101dx __.

The value of  5050011x50100dx011x50101dx __.

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    Solution:

    01(1x50101dx=x1x501010101x1011x5010050x49dx=0+505001x501x50100dx=5050011x5011x50100dx=5050011x50101dx+5050011x50100dx5051011x50101dx=5050011x50100dx5050011x50100dx011x50101dx=5051

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