Let f : ℝ → ℝ be a continuous function which satisfies f(x) = _0^xf(t) ,dt. Then the value of f(ln 5) is

JEE Advanced 2009 Mathematics question

Let f : ℝ → ℝ be a continuous function which satisfies

f(x) = f(t) dt.

Then the value of f(ln 5) is

Answer: 0

Differentiating, f′(x) = f(x), so ; but putting x = 0 in

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Question ID VK-037765