Constants Hidden in an Integral Identity

Difficulty: Medium · Topics: Calculus, Integration, Fundamental Theorem of Calculus

Integral ayniyatda yashiringan o‘zgarmaslar

The differentiable function f(x) satisfies

∫ 1^x(x-t)f(t) dt=x^3+ax^2+bx-2

Find the value of f(a)+f(b).