Let f:[0, \infty) \rightarrow \mathbb{R} be a differentiable function such that f(x)=1-2 x+\int_{0}^{x} e^{x-t} 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 [4 Apr 2025 Shift 1]

JEE Main 4 Apr 2025 Shift 1 Paper

Section: Mathematics

Question : 7 of 75

Marks: +1, -0

Let f:[0,∞)⟶ℝ be a differentiable function such that f(x)=1−2x+

∫

ex−tf(t)‌dt for all x∈[0,∞).
Then the area of the region bounded by y=f(x) and the coordinate axes is

[4 Apr 2025 Shift 1]

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