Question
Let $f$ be a differentiable function such that ${x^2}f(x) - x = 4\int\limits_0^x {tf(t)dt} $, $f(1) = {2 \over 3}$. Then $18f(3)$ is equal to :
Let $f$ be a differentiable function such that ${x^2}f(x) - x = 4\int\limits_0^x {tf(t)dt} $, $f(1) = {2 \over 3}$. Then $18f(3)$ is equal to :