An Integral Identity with Unknown Constants
Difficulty: Medium · Topics: Calculus, Integration, Fundamental Theorem of Calculus
Noma’lum o‘zgarmasli integral ayniyat
f(x) is a differentiable function for every real number x and satisfying
∫ 1^x(x-t)f(t) dt=x^3-ax^2+bx
Find the value of f(a)+b.
f(x) har bir haqiqiy x uchun differensiallanuvchi funksiya bo‘lib,
∫ 1^x(x-t)f(t) dt=x^3-ax^2+bx
f(a)+b ning qiymatini toping.