Q .     If `f : (0,∞) → R` and `F(x) =∫_0^xf(t) dt`. If `F (x^2) = x^2 (1 + x)` , then `f (4)` has value

JEE 2001
A

`7`

B

`4`

C

`2`

D

`5`

HINT

Solve by Leibnitz rule.
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