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Let F(x)=x2+π6∫x2cos2t dt for all x∈R and f:[0,12]→[0,∞) be a continuous function. For a∈[0,12], if F′(a)+2 is the area of the region bounded by x=0,y=0,y=f(x) and x=a, then f(0) is

Answer» Let F(x)=x2+π6x2cos2t dt for all xR and f:[0,12][0,) be a continuous function. For a[0,12], if F(a)+2 is the area of the region bounded by x=0,y=0,y=f(x) and x=a, then f(0) is


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