MathDB
Today's calculation of Integral 721

Source: 1983 Kobe University entrance exam

June 27, 2011
calculusintegrationfunctioncalculus computations

Problem Statement

For constant aa, find the differentiable function f(x)f(x) satisfying ∫0x(e−x−ae−t)f(t)dt=0\int_0^x (e^{-x}-ae^{-t})f(t)dt=0.
Back to ProblemsView on AoPS