1.

Let \[f:(0,\,+\infty )\to R\] and \[F(x)=\int_{0}^{x}{f(t)\,dt}\]. If \[F({{x}^{2}})={{x}^{2}}(1+x)\], then \[f(4)\] equals [IIT Screening 2001]

A. \[\frac{5}{4}\]
B. 7
C. 4
D. 2
Answer» D. 2


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