Let f: (0, + ) R and F(x) = _0^x f(t) ,dt. If F(x^2) = x^2(1+x) then f(4) equals

JEE Advanced Mathematics question

Let and . If then equals

Answer: (C)

. Differentiate w.r.t. (Leibniz rule):

2x + = f

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Question ID VK-110547