设f(x)连续且满足f(x)=-cosx+∫x0f(t)dt,求f(x).
设f(x)连续且满足f(x)=-cosx+∫x0f(t)dt,求f(x).
【正确答案】:先证f(x)可导.f(x)=-(1/2)(ex+sinx+cosx).
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