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[" Let "F(x)=int(x)^(x^(2)+(pi)/(6))2cos...

[" Let "F(x)=int_(x)^(x^(2)+(pi)/(6))2cos^(2)tdt" for all "x in R" and "f:[0,(1)/(2)]rarr[0,oo)" be a continueous function.For "a in],[[0,(1)/(2)]," if "F'(a)+2" is the are of the region bounded by "x=0,y=0,y=f(x)" and "x=a" ,then "f(0)" is "],[qquad " (LE-Advanced "2015" ) "]

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