Let be a continuous function which satisfies

MATHEMATICS · Subjective · AP · Calculus AB · Differential Equations · Differential Equations

Problem

Let f:R→Rf: \mathbb{R} \to \mathbb{R} be a continuous function which satisfies f(x)=∫0xf(t)dtf(x) = \int_{0}^{x} f(t) dt. Then, the value of f(ln⁡5)f(\ln 5) is ___.

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