Mathematics

Mathematics

Problem

Let ff be a differentiable function such that x2f(x)−x=4∫0xtf(t)dtx^2 f(x) - x = 4 \int_{0}^{x} t f(t) dt, f(1)=23f(1) = \frac{2}{3}. Then 18f(3)18 f(3) is equal to ![](![](https://storage.googleapis.com/diraq-contents/homework-question-parsing/marker/20260106T182719Z/0103f29bb9f84431ba7a7e4a5c212d1e/8740e63f5546e4004e600f24d883acba_img.jpg)) 210 160 150 180

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