Integral from Two Functional Equations

Difficulty: Hard · Topics: Calculus, Integration, Functional Equations

Ikki funksional tenglamadan integral

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

Find the value of ∫ -4^4f(x^2) dx.