Scaling an Integral of f(x)/x
Difficulty: Easy · Topics: Calculus, Integration, Functional Equations
f(x)/x integralini masshtablash
The function f(x) is continuous in the set of all real numbers and satisfies
f(2t)=f(t)-2/t, ∫ 1^2(f(x))/(x) dx=4
Find the value of ∫ 2^4(f(x))/(x) dx.
f(x) funksiya barcha haqiqiy sonlar to‘plamida uzluksiz va
f(2t)=f(t)-2/t, ∫ 1^2(f(x))/(x) dx=4
shartlarni qanoatlantiradi. ∫ 2^4(f(x))/(x) dx ning qiymatini toping.