设f(x)连续,且=________.

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问题 设f(x)连续,且=________.

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答案1

解析0xtf(x-t)dtx0(x-u)f(u)(-du)=x∫0xf(u)du-∫0xuf(u)du,
0xarctan(x-t)2dtx0arctanu2(-du)=∫0xarctanu2du,

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