MathCastle
PutnamSuperchallengeIntegrals I: Feynman's Trick

Integrals I: Feynman's Trick · Superchallenge problem

A function satisfies f(x)+2f(1−x)=3xf(x) + 2f(1 - x) = 3x for all real xx. Compute f(2)f(2).