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Let f : (0, ∞) → R and F(x) = ∫f(t), t∈[0, x] dt. If F(x^2) = x^2(1 + x), then f(4) equals

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Let f : (0, ∞) → R and F(x) = ∫f(t), t∈[0, x] dt.

If F(x2) = x2(1 + x), then f(4) equals

(a) 5/4

(b) 7

(c) 4

(d) 2

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The correct option (c) 4

Explanation:

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