Let f(x) and g(x) be two functions satisfying f(x^2)+g(4-x)=4x^3 and g(4-x)+g(x)=0, then the value of _ -4...

Question

Let f(x) and g(x) be two functions satisfying f(x^2)+g(4-x)=4x^3 and g(4-x)+g(x)=0, then the value of _ -4 ^4f(x)^2dx is

Accepted Answer

512

JEE Main 2021 Mathematics question