Area Under Differentiable Function (Jee Mains)

Definite Integration Properties

Hard

Area Under Differentiable Function

Let f : [0, ∞) →

be differentiable function such that f(x) = 1 – 2x+ $\int\limits_0^x {{e^{x - t}}f\left( t \right)}$ dt for all x ∈ [0, ∞).
Then the area of the region bounded by y = f(x) and the coordinate axes is

SELECT ONE OPTION

Ask about this question