A Separable Integral Equation
Difficulty: Medium · Topics: Calculus, Integration, Differential Equations
O‘zgaruvchilari ajraladigan integral tenglama
If
f(x)=∫ 0^xfracdtt^2f(t)
and f(1)=2, f(x)≥ 0, evaluate ∫ 1/3^19√x f(x) dx.
Agar
f(x)=∫ 0^xfracdtt^2f(t)
va f(1)=2, f(x)≥ 0 bo‘lsa, ∫ 1/3^19√x f(x) dx ni hisoblang.