JEE Main 2025April, Unspecified (session-level dataset)MathematicsMediumIntegral Calculus369× since 2002
Let f: [0, \infty) \to \mathbb{R} be a differentiable function such that f(x) = 1 - 2x + \int_0^x e^{t-x} f(t) \, dt for all x \in [0, \infty). Then the area of the region bounded by y = f(x) and the coordinate axes is: