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Question

Let f(x) be a non-positive continuous function and F(x)=x0f(t)dt x0 and f(x)cF(x) where c>0 and let g:[0,)R be a function such that dg(x)dx<g(x) x>0 and g(0)=0.
The solution set of inequality g(x)(cos1xsin1x)0

A
[1,12]
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B
[12,1]
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C
[0,12]
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D
(0,12]
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