Integrals of a Shifted Function
Difficulty: Medium · Topics: Calculus, Integration, Functional Equations
Siljitilgan funksiya integrallari
f(x) is continuous on the set of real numbers and satisfies the following:
f(x+1)=f(x)+x and ∫ 0^2f(x) dx=2.
Find ∫ 0^3f(x) dx.
f(x) haqiqiy sonlar to‘plamida uzluksiz va quyidagilarni qanoatlantiradi:
f(x+1)=f(x)+x va ∫ 0^2f(x) dx=2.
∫ 0^3f(x) dx ni toping.