1.
Let f:RRf: \mathbb{R} \to \mathbb{R} be a function defined by f(x)=x(1+x4)1/4f(x) = \frac{x}{(1+x^4)^{1/4}}, and g(x)=f(f(f(f(x))))g(x) = f(f(f(f(x)))). Then 18025x2g(x)dx18 \int_0^{\sqrt{2\sqrt{5}}} x^2 g(x) \, dx is equal to: