设f(t)连续并满足f(t)=cos2t+∫0tf(s)sinsds,求f(t)。

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问题 设f(t)连续并满足f(t)=cos2t+∫0tf(s)sinsds,求f(t)。

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答案因f(t)连续,因此∫0tf(s)sinsds可导,从而f(t)可导,于是 [*]

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