An Integral Equation with Two Unknown Integrals
Difficulty: Hard · Topics: Calculus, Integration, Functional Equations
Ikki noma’lum integralli integral tenglama
The function f(x) is continuous in the set of mathbbR.
f(x)+∫ 0^(π)/(2)f(t)cos x dt=cos x+∫ -(π)/(2)^(π)/(2)f(t) dt
Find ∫ 0^(π)/(2)f(x) dx.
f(x) funksiya mathbbR to‘plamda uzluksiz.
f(x)+∫ 0^(π)/(2)f(t)cos x dt=cos x+∫ -(π)/(2)^(π)/(2)f(t) dt
∫ 0^(π)/(2)f(x) dx ni toping.